Cremona's table of elliptic curves

94640 = 2⁴ · 5 · 7 · 13²

Class	r	Atkin-Lehner	Eigenvalues
94640a (1 curve)	1	2+ 5+ 7+ 13+	2+  1 5+ 7+  0 13+  3  0
Curve Equation t Generators 94640a1 [0,1,0,-56,-220] 1 [14:44:1]
94640b (1 curve)	1	2+ 5+ 7+ 13+	2+  1 5+ 7+  0 13+ -5  4
Curve Equation t Generators 94640b1 [0,1,0,154905344,-2480587728956] 1 [17644505219338160400563672138659592007629490:1797797908089640785381883296211156574509113352:1350900800018892827369746539072853143151]
94640c (1 curve)	1	2+ 5+ 7+ 13+	2+  1 5+ 7+ -3 13+ -6 -6
Curve Equation t Generators 94640c1 [0,1,0,-142016,23390420] 1 [212:-1690:1]
94640d (2 curves)	1	2+ 5+ 7+ 13+	2+ -2 5+ 7+  0 13+ -8 -2
Curve Equation t Generators 94640d1 [0,1,0,-6816,-104636] 2 [-48:338:1] 94640d2 [0,1,0,-54136,4759860] 2 [212:-1690:1]
94640e (2 curves)	1	2+ 5+ 7+ 13+	2+ -2 5+ 7+ -4 13+  4  6
Curve Equation t Generators 94640e1 [0,1,0,-94696,11144004] 2 [-178:4732:1] 94640e2 [0,1,0,-142016,-1215980] 2 [-204:4394:1]
94640f (2 curves)	0	2+ 5+ 7+ 13-	2+  2 5+ 7+ -2 13-  0 -8
Curve Equation t 94640f1 [0,-1,0,-71036,-3799264] 2 94640f2 [0,-1,0,236544,-28159600] 2
94640g (2 curves)	0	2+ 5+ 7+ 13-	2+  2 5+ 7+  4 13-  6  4
Curve Equation t 94640g1 [0,-1,0,-199846976,-1087336351024] 2 94640g2 [0,-1,0,-3197543496,-69593095383280] 2
94640h (2 curves)	0	2+ 5+ 7+ 13-	2+ -2 5+ 7+  4 13-  2  0
Curve Equation t 94640h1 [0,1,0,-2575616,1529721220] 2 94640h2 [0,1,0,-6881736,-4924291436] 2
94640i (1 curve)	0	2+ 5+ 7- 13+	2+  0 5+ 7-  1 13+  3 -2
Curve Equation t 94640i1 [0,0,0,-8788,342732] 1
94640j (2 curves)	2	2+ 5+ 7- 13+	2+  0 5+ 7- -2 13+ -4  4
Curve Equation t Generators 94640j1 [0,0,0,-464243,6032962] 2 [-663:4732:1]&[-3471:215306:27] 94640j2 [0,0,0,1854437,48232938] 2 [23:9534:1]&[559:35490:1]
94640k (1 curve)	0	2+ 5+ 7- 13+	2+  1 5+ 7-  4 13+  1  6
Curve Equation t 94640k1 [0,1,0,-2591,68420] 1
94640l (1 curve)	0	2+ 5+ 7- 13+	2+ -1 5+ 7-  4 13+  3  6
Curve Equation t 94640l1 [0,-1,0,9,-14] 1
94640m (2 curves)	0	2+ 5+ 7- 13+	2+  2 5+ 7- -2 13+ -6  6
Curve Equation t 94640m1 [0,-1,0,-1747516,348045216] 2 94640m2 [0,-1,0,6367864,2659305440] 2
94640n (1 curve)	0	2+ 5+ 7- 13+	2+  3 5+ 7- -5 13+ -7 -2
Curve Equation t 94640n1 [0,0,0,-69628,-7285252] 1
94640o (2 curves)	1	2+ 5+ 7- 13-	2+  0 5+ 7-  0 13- -4 -6
Curve Equation t Generators 94640o1 [0,0,0,-143,-338] 2 [-3:8:1] 94640o2 [0,0,0,-1963,-33462] 2 [234:3510:1]
94640p (2 curves)	1	2+ 5+ 7- 13-	2+  2 5+ 7-  0 13-  2  4
Curve Equation t Generators 94640p1 [0,-1,0,-290736,-57687280] 2 [-9510:25550:27] 94640p2 [0,-1,0,-4596856,-3791954544] 2 [-522303450:-35474642:421875]
94640q (2 curves)	1	2+ 5+ 7- 13-	2+  2 5+ 7- -6 13- -4  4
Curve Equation t Generators 94640q1 [0,-1,0,-13511,613586] 2 [440790:3474316:3375] 94640q2 [0,-1,0,-216636,38882336] 2 [14088:222040:27]
94640r (2 curves)	1	2+ 5+ 7- 13-	2+ -2 5+ 7- -2 13-  4  0
Curve Equation t Generators 94640r1 [0,1,0,9,-116] 2 [20:92:1] 94640r2 [0,1,0,-316,-2196] 2 [-10:8:1]
94640s (1 curve)	1	2+ 5+ 7- 13-	2+  3 5+ 7-  3 13- -6  0
Curve Equation t Generators 94640s1 [0,0,0,-2523472003,98438059332002] 1 [11274159:7237295884:27]
94640t (1 curve)	0	2+ 5- 7+ 13+	2+  0 5- 7+ -1 13+  3  2
Curve Equation t 94640t1 [0,0,0,-52,156] 1
94640u (2 curves)	0	2+ 5- 7+ 13+	2+  0 5- 7+  2 13+  0  8
Curve Equation t 94640u1 [0,0,0,-2285387,-1329795766] 2 94640u2 [0,0,0,-2238067,-1387497774] 2
94640v (1 curve)	0	2+ 5- 7+ 13+	2+  1 5- 7+ -4 13+  1 -6
Curve Equation t 94640v1 [0,1,0,-437935,152070400] 1
94640w (1 curve)	0	2+ 5- 7+ 13+	2+  1 5- 7+  5 13+ -2 -6
Curve Equation t 94640w1 [0,1,0,-3957360,-3181060492] 1
94640x (1 curve)	0	2+ 5- 7+ 13+	2+  1 5- 7+ -5 13+  3 -6
Curve Equation t 94640x1 [0,1,0,-225,-10165] 1
94640y (1 curve)	0	2+ 5- 7+ 13+	2+ -1 5- 7+ -4 13+  3 -6
Curve Equation t 94640y1 [0,-1,0,1465,-24818] 1
94640z (2 curves)	0	2+ 5- 7+ 13+	2+ -2 5- 7+ -2 13+  6 -6
Curve Equation t 94640z1 [0,1,0,-607780,-182371812] 2 94640z2 [0,1,0,-442160,-283797500] 2
94640ba (2 curves)	1	2+ 5- 7+ 13-	2+  0 5- 7+  0 13- -4  6
Curve Equation t Generators 94640ba1 [0,0,0,-24167,-742586] 2 [-15855:66392:125] 94640ba2 [0,0,0,-331747,-73516014] 2 [-3327136610:-1568444994:9938375]
94640bb (2 curves)	1	2+ 5- 7+ 13-	2+  2 5- 7+  0 13-  2 -4
Curve Equation t Generators 94640bb1 [0,-1,0,-1720,-25728] 2 [-654:910:27] 94640bb2 [0,-1,0,-27200,-1717600] 2 [69790:364650:343]
94640bc (2 curves)	1	2+ 5- 7+ 13-	2+  2 5- 7+  6 13- -4 -4
Curve Equation t Generators 94640bc1 [0,-1,0,-2283415,1338914862] 2 [21733998:-480520000:35937] 94640bc2 [0,-1,0,-36611540,85278046112] 2 [2404:105600:1]
94640bd (2 curves)	1	2+ 5- 7+ 13-	2+ -2 5- 7+  2 13-  4  0
Curve Equation t Generators 94640bd1 [0,1,0,1465,-260792] 2 [35948040:-3710215016:3375] 94640bd2 [0,1,0,-53460,-4610852] 2 [-14170:9264:125]
94640be (1 curve)	1	2+ 5- 7+ 13-	2+  3 5- 7+ -3 13- -6  0
Curve Equation t Generators 94640be1 [0,0,0,-14931787,44805671066] 1 [233142:37378835:216]
94640bf (4 curves)	1	2+ 5- 7- 13+	2+  0 5- 7-  0 13+  6  4
Curve Equation t Generators 94640bf1 [0,0,0,3718,50531] 2 [11908:171535:64] 94640bf2 [0,0,0,-17407,435006] 4 [-2195:107184:125] 94640bf3 [0,0,0,-135707,-18942534] 2 [-589580730:801801924:3048625] 94640bf4 [0,0,0,-237107,44418946] 4 [261:560:1]
94640bg (1 curve)	1	2+ 5- 7- 13+	2+  1 5- 7-  0 13+  3  0
Curve Equation t Generators 94640bg1 [0,1,0,-9520,-445340] 1 [31494:5589160:1]
94640bh (1 curve)	1	2+ 5- 7- 13+	2+  1 5- 7-  0 13+ -5 -4
Curve Equation t Generators 94640bh1 [0,1,0,916600,-1128797500] 1 [950:24500:1]
94640bi (2 curves)	1	2+ 5- 7- 13+	2+ -2 5- 7-  6 13+ -2  2
Curve Equation t Generators 94640bi1 [0,1,0,-80500,-8158500] 2 [-1190:5915:8] 94640bi2 [0,1,0,85120,-37241372] 2 [511:11830:1]
94640bj (2 curves)	0	2+ 5- 7- 13-	2+  2 5- 7-  2 13-  0  8
Curve Equation t 94640bj1 [0,-1,0,-420,-1600] 2 94640bj2 [0,-1,0,1400,-13248] 2
94640bk (2 curves)	0	2+ 5- 7- 13-	2+  2 5- 7- -4 13-  6 -4
Curve Equation t 94640bk1 [0,-1,0,-33774139000,-2389013059755648] 2 94640bk2 [0,-1,0,-540384850880,-152898192096469600] 2
94640bl (2 curves)	2	2+ 5- 7- 13-	2+ -2 5- 7- -4 13-  2  0
Curve Equation t Generators 94640bl1 [0,1,0,-15240,691588] 2 [96:-350:1]&[-114:980:1] 94640bl2 [0,1,0,-40720,-2253900] 2 [-140:850:1]&[-100:910:1]
94640bm (4 curves)	0	2- 5+ 7+ 13+	2-  0 5+ 7+  0 13+ -6  0
Curve Equation t 94640bm1 [0,0,0,-180323,-29470558] 2 94640bm2 [0,0,0,-193843,-24795342] 4 94640bm3 [0,0,0,468637,-157423838] 2 94640bm4 [0,0,0,-1072643,407046978] 2
94640bn (1 curve)	0	2- 5+ 7+ 13+	2-  0 5+ 7+ -3 13+  1  2
Curve Equation t 94640bn1 [0,0,0,-208,58032] 1
94640bo (1 curve)	0	2- 5+ 7+ 13+	2-  1 5+ 7+ -4 13+  3 -4
Curve Equation t 94640bo1 [0,1,0,5859,-792466] 1
94640bp (2 curves)	0	2- 5+ 7+ 13+	2- -1 5+ 7+  0 13+ -3  4
Curve Equation t 94640bp1 [0,-1,0,-26902907256,-1698418228173200] 1 94640bp2 [0,-1,0,-26895701096,-1699373573481104] 1
94640bq (2 curves)	0	2- 5+ 7+ 13+	2- -1 5+ 7+  0 13+ -3  4
Curve Equation t 94640bq1 [0,-1,0,1115344,-1809135680] 1 94640bq2 [0,-1,0,-10133296,51491420096] 1
94640br (2 curves)	2	2- 5+ 7+ 13+	2- -1 5+ 7+  0 13+ -3 -8
Curve Equation t Generators 94640br1 [0,-1,0,-56,43120] 1 [-30:130:1]&[-4:208:1] 94640br2 [0,-1,0,-94696,11248496] 1 [100:-1664:1]&[-86:4330:1]
94640bs (1 curve)	0	2- 5+ 7+ 13+	2- -1 5+ 7+  4 13+ -7  6
Curve Equation t 94640bs1 [0,-1,0,-993776,392363776] 1
94640bt (1 curve)	0	2- 5+ 7+ 13+	2- -1 5+ 7+ -4 13+ -3  0
Curve Equation t 94640bt1 [0,-1,0,139,-5084] 1
94640bu (1 curve)	0	2- 5+ 7+ 13+	2- -1 5+ 7+ -5 13+  2 -6
Curve Equation t 94640bu1 [0,-1,0,-901,-23635] 1
94640bv (2 curves)	0	2- 5+ 7+ 13+	2-  2 5+ 7+ -4 13+  0 -6
Curve Equation t 94640bv1 [0,-1,0,-3096136,-1703195664] 2 94640bv2 [0,-1,0,-15210056,21303561200] 2
94640bw (1 curve)	0	2- 5+ 7+ 13+	2-  3 5+ 7+ -4 13+  5 -2
Curve Equation t 94640bw1 [0,0,0,90077,57122] 1
94640bx (1 curve)	0	2- 5+ 7+ 13+	2- -3 5+ 7+ -3 13+  6  6
Curve Equation t 94640bx1 [0,0,0,-208,-6032] 1
94640by (2 curves)	1	2- 5+ 7+ 13-	2-  0 5+ 7+ -2 13-  6 -6
Curve Equation t Generators 94640by1 [0,0,0,-923,9802] 2 [-3:112:1] 94640by2 [0,0,0,1157,47658] 2 [23:294:1]
94640bz (2 curves)	1	2- 5+ 7+ 13-	2-  0 5+ 7+  4 13-  0  6
Curve Equation t Generators 94640bz1 [0,0,0,-58525883,-172047522582] 2 [5266700444497190537:12135809393821577150848:991921850317] 94640bz2 [0,0,0,-78211003,-46295038998] 2 [2386192422799140144390935872318520971:5498389104810358013932704110000312403054:449411561929384423822357512733]
94640ca (2 curves)	1	2- 5+ 7- 13+	2-  0 5+ 7- -2 13+ -4 -4
Curve Equation t Generators 94640ca1 [0,0,0,-78923,7632378] 2 [26:2366:1] 94640ca2 [0,0,0,110357,38636442] 2 [442:13182:1]
94640cb (1 curve)	1	2- 5+ 7- 13+	2-  0 5+ 7- -3 13+  7  6
Curve Equation t Generators 94640cb1 [0,0,0,1352,2028] 1 [26:234:1]
94640cc (2 curves)	1	2- 5+ 7- 13+	2- -1 5+ 7-  3 13+ -3  2
Curve Equation t Generators 94640cc1 [0,-1,0,-901,51401] 1 [49:350:1] 94640cc2 [0,-1,0,-136101,19371481] 1 [213:-14:1]
94640cd (2 curves)	1	2- 5+ 7- 13+	2- -1 5+ 7-  3 13+  6  2
Curve Equation t Generators 94640cd1 [0,-1,0,-1421,-20255] 1 [45:70:1] 94640cd2 [0,-1,0,3779,-111775] 1 [281:4802:1]
94640ce (3 curves)	1	2- 5+ 7- 13+	2- -1 5+ 7- -3 13+  6  2
Curve Equation t Generators 94640ce1 [0,-1,0,-1564122096,-25817003132480] 1 [46120:378560:1] 94640ce2 [0,-1,0,9632127904,23677857867520] 1 [238416:125984768:1] 94640ce3 [0,-1,0,-136560646096,20599625350185920] 1 [65870473064:20323785244672:205379]
94640cf (1 curve)	1	2- 5+ 7- 13+	2- -3 5+ 7-  4 13+ -7  8
Curve Equation t Generators 94640cf1 [0,0,0,-208,-1157] 1 [701:18556:1]
94640cg (1 curve)	0	2- 5+ 7- 13-	2- -1 5+ 7- -5 13- -6  8
Curve Equation t 94640cg1 [0,-1,0,324424,226270576] 1
94640ch (4 curves)	1	2- 5- 7+ 13+	2-  0 5- 7+  0 13+ -2 -4
Curve Equation t Generators 94640ch1 [0,0,0,-135707,-13845494] 2 [-273:1690:1] 94640ch2 [0,0,0,-798187,263468634] 4 [373:4200:1] 94640ch3 [0,0,0,432133,1002398826] 4 [3302:196040:1] 94640ch4 [0,0,0,-12628187,17272642634] 2 [2063:870:1]
94640ci (1 curve)	1	2- 5- 7+ 13+	2-  0 5- 7+  3 13+  7 -6
Curve Equation t Generators 94640ci1 [0,0,0,228488,4455516] 1 [302:10050:1]
94640cj (4 curves)	1	2- 5- 7+ 13+	2-  0 5- 7+  4 13+  2  0
Curve Equation t Generators 94640cj1 [0,0,0,6253,303186] 2 [2019:29440:27] 94640cj2 [0,0,0,-47827,3255954] 4 [338:5070:1] 94640cj3 [0,0,0,-237107,-41527694] 2 [-273:1690:1] 94640cj4 [0,0,0,-723827,237016754] 2 [4834:36015:8]
94640ck (2 curves)	1	2- 5- 7+ 13+	2-  0 5- 7+ -6 13+ -8  0
Curve Equation t Generators 94640ck1 [0,0,0,-91659347,-310842505454] 2 [-5588626044806211:-118559546428375040:892778165189] 94640ck2 [0,0,0,102163373,-1450248747246] 2 [446247874650717155978606485:-47820630507897788676105888594:35556228145135190067875]
94640cl (2 curves)	1	2- 5- 7+ 13+	2- -1 5- 7+ -3 13+  6 -2
Curve Equation t Generators 94640cl1 [0,-1,0,-240205,-45460975] 1 [1465:52390:1] 94640cl2 [0,-1,0,638595,-243015215] 1 [1357:55862:1]
94640cm (1 curve)	1	2- 5- 7+ 13+	2-  3 5- 7+  3 13+ -2 -6
Curve Equation t Generators 94640cm1 [0,0,0,-88387,-10277566] 1 [73866:3839680:27]
94640cn (1 curve)	1	2- 5- 7+ 13+	2- -3 5- 7+ -4 13+ -7 -8
Curve Equation t Generators 94640cn1 [0,0,0,-35152,-2541929] 1 [217:220:1]
94640co (1 curve)	1	2- 5- 7+ 13+	2- -3 5- 7+ -5 13+ -1  6
Curve Equation t Generators 94640co1 [0,0,0,5408,-465764] 1 [90:866:1]
94640cp (1 curve)	2	2- 5- 7+ 13-	2- -1 5- 7+  5 13- -6 -8
Curve Equation t Generators 94640cp1 [0,-1,0,1920,102400] 1 [-30:130:1]&[0:320:1]
94640cq (1 curve)	0	2- 5- 7- 13+	2-  0 5- 7-  3 13+  1 -2
Curve Equation t 94640cq1 [0,0,0,-35152,127496304] 1
94640cr (4 curves)	0	2- 5- 7- 13+	2-  0 5- 7-  4 13+  2 -4
Curve Equation t 94640cr1 [0,0,0,-5408507,-4429147606] 2 94640cr2 [0,0,0,-19252987,27570983466] 4 94640cr3 [0,0,0,34827013,154540007466] 2 94640cr4 [0,0,0,-294844667,1948610348074] 4
94640cs (1 curve)	0	2- 5- 7- 13+	2-  1 5- 7-  4 13+  3  4
Curve Equation t 94640cs1 [0,1,0,35,-350] 1
94640ct (1 curve)	0	2- 5- 7- 13+	2-  1 5- 7- -5 13+  2 -6
Curve Equation t 94640ct1 [0,1,0,-530040,-831289900] 1
94640cu (2 curves)	0	2- 5- 7- 13+	2- -1 5- 7-  0 13+ -3 -4
Curve Equation t 94640cu1 [0,-1,0,-159188800,-773013480448] 1 94640cu2 [0,-1,0,-159146160,-773448334400] 1
94640cv (2 curves)	2	2- 5- 7- 13+	2- -1 5- 7-  0 13+ -3 -4
Curve Equation t Generators 94640cv1 [0,-1,0,6600,-825488] 1 [252:4096:1]&[162:2114:1] 94640cv2 [0,-1,0,-59960,23455600] 1 [60:4480:1]&[-150:5390:1]
94640cw (2 curves)	0	2- 5- 7- 13+	2- -1 5- 7-  0 13+ -3  8
Curve Equation t 94640cw1 [0,-1,0,-9520,94696640] 1 94640cw2 [0,-1,0,-16003680,24648931072] 1
94640cx (3 curves)	0	2- 5- 7- 13+	2- -1 5- 7- -3 13+  3  2
Curve Equation t 94640cx1 [0,-1,0,-3605,-91235] 1 94640cx2 [0,-1,0,23435,227837] 1 94640cx3 [0,-1,0,-355125,85328125] 1
94640cy (2 curves)	2	2- 5- 7- 13+	2- -1 5- 7- -3 13+ -6  2
Curve Equation t Generators 94640cy1 [0,-1,0,17520,-5870528] 1 [672:17576:1]&[304:5240:1] 94640cy2 [0,-1,0,-158240,161593600] 1 [6080:-473200:1]&[480:14000:1]
94640cz (1 curve)	0	2- 5- 7- 13+	2- -1 5- 7-  4 13+ -3  0
Curve Equation t 94640cz1 [0,-1,0,23435,-11075728] 1
94640da (1 curve)	2	2- 5- 7- 13+	2- -1 5- 7- -4 13+ -7 -6
Curve Equation t Generators 94640da1 [0,-1,0,-5880,180400] 1 [-78:398:1]&[-60:560:1]
94640db (1 curve)	0	2- 5- 7- 13+	2- -1 5- 7-  5 13+  2  6
Curve Equation t 94640db1 [0,-1,0,-152325,-52535315] 1
94640dc (4 curves)	0	2- 5- 7- 13+	2-  2 5- 7-  0 13+  0  2
Curve Equation t 94640dc1 [0,-1,0,-631440,-192662848] 2 94640dc2 [0,-1,0,-820720,-67435200] 2 94640dc3 [0,-1,0,-2564800,1393536000] 2 94640dc4 [0,-1,0,-39663680,96158915072] 2
94640dd (6 curves)	0	2- 5- 7- 13+	2-  2 5- 7-  0 13+  0  2
Curve Equation t 94640dd1 [0,-1,0,-3234040,-2228918160] 2 94640dd2 [0,-1,0,-51689720,-143021741968] 2 94640dd3 [0,-1,0,-17943800,27597629552] 2 94640dd4 [0,-1,0,-55042680,-123409651600] 2 94640dd5 [0,-1,0,-1430351160,20821982015600] 2 94640dd6 [0,-1,0,-1430540440,20816195801712] 2
94640de (2 curves)	0	2- 5- 7- 13+	2- -2 5- 7-  4 13+  0 -2
Curve Equation t 94640de1 [0,1,0,-16280,-242540] 2 94640de2 [0,1,0,-205560,-35902892] 2
94640df (1 curve)	0	2- 5- 7- 13+	2-  3 5- 7-  4 13+  5  2
Curve Equation t 94640df1 [0,0,0,533,26] 1
94640dg (1 curve)	0	2- 5- 7- 13+	2- -3 5- 7-  3 13+  6 -6
Curve Equation t 94640dg1 [0,0,0,-35152,-13252304] 1
94640dh (2 curves)	1	2- 5- 7- 13-	2-  0 5- 7-  2 13-  6  6
Curve Equation t Generators 94640dh1 [0,0,0,-155987,21534994] 2 [3769:230160:1] 94640dh2 [0,0,0,195533,104704626] 2 [-303:4200:1]
94640di (2 curves)	1	2- 5- 7- 13-	2-  0 5- 7- -4 13-  0 -6
Curve Equation t Generators 94640di1 [0,0,0,-346307,-78310206] 2 [-337:350:1] 94640di2 [0,0,0,-462787,-21071934] 2 [1327:41250:1]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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