Cremona's table of elliptic curves

115150 = 2 · 5² · 7² · 47

Class	r	Atkin-Lehner	Eigenvalues
115150a (2 curves)	2	2+ 5+ 7+ 47-	2+ -1 5+ 7+  0 -2 -6  2
Curve Equation t Generators 115150a1 [1,1,0,-21327275,37908848125] 1 [-1050:243725:1]&[2534:-13299:1] 115150a2 [1,1,0,8856725,133710120125] 1 [-3730:222765:1]&[-2555:308540:1]
115150b (2 curves)	2	2+ 5+ 7+ 47-	2+ -1 5+ 7+  0  4  0 -4
Curve Equation t Generators 115150b1 [1,1,0,-50250,10796500] 1 [-284:1646:1]&[45:-2960:1] 115150b2 [1,1,0,439750,-249393500] 1 [3620:219090:1]&[2304:112870:1]
115150c (2 curves)	0	2+ 5+ 7+ 47-	2+  2 5+ 7+  3  1  3 -4
Curve Equation t 115150c1 [1,1,0,7325,145125] 1 115150c2 [1,1,0,-78425,-10745125] 1
115150d (2 curves)	2	2+ 5+ 7- 47+	2+  0 5+ 7-  2 -4 -2  2
Curve Equation t Generators 115150d1 [1,-1,0,383,28041] 2 [-12:153:1]&[23:209:1] 115150d2 [1,-1,0,-11867,481291] 2 [-978:2939:8]&[9:608:1]
115150e (2 curves)	0	2+ 5+ 7- 47+	2+  0 5+ 7- -2  0 -2  6
Curve Equation t 115150e1 [1,-1,0,2043683,-866257659] 2 115150e2 [1,-1,0,-10500317,-7778001659] 2
115150f (2 curves)	0	2+ 5+ 7- 47+	2+  1 5+ 7-  0  2  6 -2
Curve Equation t 115150f1 [1,0,1,-435251,-110583602] 1 115150f2 [1,0,1,180749,-389799602] 1
115150g (2 curves)	0	2+ 5+ 7- 47+	2+  1 5+ 7-  0 -4  0  4
Curve Equation t 115150g1 [1,0,1,-2462276,-3710586302] 1 115150g2 [1,0,1,21547724,85606613698] 1
115150h (2 curves)	0	2+ 5+ 7- 47+	2+  1 5+ 7- -3  5  0  7
Curve Equation t 115150h1 [1,0,1,-44126,-3562352] 1 115150h2 [1,0,1,-215626,35539648] 1
115150i (1 curve)	0	2+ 5+ 7- 47+	2+  2 5+ 7-  0  0  2  5
Curve Equation t 115150i1 [1,1,0,-38245,-2894835] 1
115150j (2 curves)	0	2+ 5+ 7- 47+	2+ -2 5+ 7-  3 -1 -3  4
Curve Equation t 115150j1 [1,0,1,149,-402] 1 115150j2 [1,0,1,-1601,31098] 1
115150k (1 curve)	2	2+ 5+ 7- 47+	2+ -2 5+ 7- -4 -2 -6  1
Curve Equation t Generators 115150k1 [1,0,1,-1210326,-783612952] 1 [1376:11831:1]&[3618:203617:1]
115150l (1 curve)	0	2+ 5+ 7- 47+	2+ -3 5+ 7-  1 -6 -2  0
Curve Equation t 115150l1 [1,-1,0,-21667,-1231259] 1
115150m (1 curve)	2	2+ 5+ 7- 47+	2+ -3 5+ 7- -1 -1 -8  5
Curve Equation t Generators 115150m1 [1,-1,0,-142942,-4770284] 1 [-351:1613:1]&[-116:3258:1]
115150n (4 curves)	1	2+ 5+ 7- 47-	2+  0 5+ 7-  4  2 -6  4
Curve Equation t Generators 115150n1 [1,-1,0,-236042,42544116] 2 [-1818:74409:8] 115150n2 [1,-1,0,-628042,-135031884] 4 [-79806:1512403:216] 115150n3 [1,-1,0,1674958,-897324884] 2 [19828578174:-1187962976587:6434856] 115150n4 [1,-1,0,-9203042,-10742306884] 2 [51662:3543819:8]
115150o (1 curve)	1	2+ 5+ 7- 47-	2+ -1 5+ 7- -5 -1  2  1
Curve Equation t Generators 115150o1 [1,1,0,-13500,-596000] 1 [-60:80:1]
115150p (1 curve)	1	2+ 5+ 7- 47-	2+ -1 5+ 7- -5  2 -6 -4
Curve Equation t Generators 115150p1 [1,1,0,29375,1419125] 1 [34:1551:1]
115150q (1 curve)	1	2+ 5+ 7- 47-	2+  2 5+ 7- -4  2  6 -1
Curve Equation t Generators 115150q1 [1,1,0,-24700,2274000] 1 [-9804:105939:64]
115150r (2 curves)	1	2+ 5+ 7- 47-	2+ -2 5+ 7-  0 -4  6 -5
Curve Equation t Generators 115150r1 [1,0,1,-880311,-327408742] 1 [3548:201242:1] 115150r2 [1,0,1,4186289,-1133090262] 1 [1871063356:123824253414:571787]
115150s (1 curve)	0	2+ 5- 7+ 47+	2+  1 5- 7+  2  0  3  2
Curve Equation t 115150s1 [1,0,1,-1251,-17202] 1
115150t (2 curves)	0	2+ 5- 7+ 47+	2+  1 5- 7+ -6 -4  3  2
Curve Equation t 115150t1 [1,0,1,-75212576,251057362798] 3 115150t2 [1,0,1,-73711951,261555735298] 1
115150u (1 curve)	0	2+ 5- 7+ 47+	2+ -3 5- 7+ -2 -6  3 -6
Curve Equation t 115150u1 [1,-1,0,18758,-51584] 1
115150v (1 curve)	1	2+ 5- 7+ 47-	2+  1 5- 7+ -2 -4 -5  6
Curve Equation t Generators 115150v1 [1,0,1,-1251,159198] 1 [-9:416:1]
115150w (2 curves)	1	2+ 5- 7+ 47-	2+  1 5- 7+  6 -4  3  2
Curve Equation t Generators 115150w1 [1,0,1,112674,4356048] 3 [-249:49279:27] 115150w2 [1,0,1,-1326701,-675028952] 1 [226695390207:-11050245615674:78953589]
115150x (1 curve)	1	2+ 5- 7- 47+	2+  0 5- 7- -2  4  0  1
Curve Equation t Generators 115150x1 [1,-1,0,6508,487416] 1 [53:963:1]
115150y (1 curve)	1	2+ 5- 7- 47+	2+  1 5- 7-  1 -4  3 -5
Curve Equation t Generators 115150y1 [1,0,1,14674,-41702] 1 [1704:-29653:27]
115150z (1 curve)	1	2+ 5- 7- 47+	2+ -1 5- 7- -2  4  5 -6
Curve Equation t Generators 115150z1 [1,1,0,-25,-475] 1 [10:15:1]
115150ba (2 curves)	1	2+ 5- 7- 47+	2+ -1 5- 7-  6  4 -3 -2
Curve Equation t Generators 115150ba1 [1,1,0,5521050,-1488603500] 1 [18096376318514428:448402442931912690:65904994578457] 115150ba2 [1,1,0,-65008325,231469922125] 1 [-280834890:2576308645:29791]
115150bb (1 curve)	1	2+ 5- 7- 47+	2+ -3 5- 7-  1  4  3 -5
Curve Equation t Generators 115150bb1 [1,-1,0,364208,100819816] 1 [5973:461068:1]
115150bc (1 curve)	0	2+ 5- 7- 47-	2+  1 5- 7-  5 -4 -5 -1
Curve Equation t 115150bc1 [1,0,1,-940826,-354054452] 1
115150bd (1 curve)	0	2+ 5- 7- 47-	2+ -1 5- 7-  2  0 -3 -2
Curve Equation t 115150bd1 [1,1,0,-61275,5838925] 1
115150be (2 curves)	2	2+ 5- 7- 47-	2+ -1 5- 7- -3 -1 -2 -5
Curve Equation t Generators 115150be1 [1,1,0,-4750575,3983379625] 1 [1260:-755:1]&[-615:81995:1] 115150be2 [1,1,0,-10906200,-8206136000] 1 [-11970:558235:8]&[-944:35816:1]
115150bf (2 curves)	0	2+ 5- 7- 47-	2+ -1 5- 7- -6  4 -3 -2
Curve Equation t 115150bf1 [1,1,0,-1534950,-732603500] 1 115150bf2 [1,1,0,-1504325,-763197875] 1
115150bg (1 curve)	0	2+ 5- 7- 47-	2+  3 5- 7- -2  6 -3  6
Curve Equation t 115150bg1 [1,-1,0,383,41] 1
115150bh (1 curve)	0	2+ 5- 7- 47-	2+  3 5- 7- -5  1  6  5
Curve Equation t 115150bh1 [1,-1,0,-352,356] 1
115150bi (1 curve)	0	2- 5+ 7+ 47+	2-  1 5+ 7+  0  2  6  2
Curve Equation t 115150bi1 [1,0,0,-3088,90292] 1
115150bj (1 curve)	0	2- 5+ 7+ 47+	2- -1 5+ 7+ -2  4  5  6
Curve Equation t 115150bj1 [1,1,1,-31263,19899781] 1
115150bk (2 curves)	0	2- 5+ 7+ 47+	2- -1 5+ 7+  6  4 -3  2
Curve Equation t 115150bk1 [1,1,1,4507,36651] 1 115150bk2 [1,1,1,-53068,-5421459] 1
115150bl (1 curve)	0	2- 5+ 7+ 47+	2-  3 5+ 7+ -2 -2  6  8
Curve Equation t 115150bl1 [1,-1,1,-997380,-395249753] 1
115150bm (1 curve)	0	2- 5+ 7+ 47+	2- -3 5+ 7+  4 -2 -6  2
Curve Equation t 115150bm1 [1,-1,1,-2204858130,46370810524497] 1
115150bn (1 curve)	1	2- 5+ 7+ 47-	2- -1 5+ 7+  2  0 -3  2
Curve Equation t Generators 115150bn1 [1,1,1,-31263,-2150219] 1 [209:602:1]
115150bo (2 curves)	1	2- 5+ 7+ 47-	2- -1 5+ 7+ -6  4 -3  2
Curve Equation t Generators 115150bo1 [1,1,1,-3008503,2007255501] 1 [1001:-500:1] 115150bo2 [1,1,1,-2948478,2091266491] 1 [1009:11527:1]
115150bp (1 curve)	1	2- 5+ 7+ 47-	2-  3 5+ 7+ -2  6 -3 -6
Curve Equation t Generators 115150bp1 [1,-1,1,750,-563] 1 [2277:29465:729]
115150bq (2 curves)	1	2- 5+ 7- 47+	2-  0 5+ 7-  0  4  0  8
Curve Equation t Generators 115150bq1 [1,-1,1,-337105,-465719103] 2 [1605:55106:1] 115150bq2 [1,-1,1,-11313105,-14580855103] 2 [4805:202488:1]
115150br (2 curves)	1	2- 5+ 7- 47+	2-  0 5+ 7-  4 -6  6  6
Curve Equation t Generators 115150br1 [1,-1,1,-335880,98204747] 2 [93:8185:1] 115150br2 [1,-1,1,-5823880,5410588747] 2 [289:61105:1]
115150bs (1 curve)	1	2- 5+ 7- 47+	2-  1 5+ 7-  2  0  3 -2
Curve Equation t Generators 115150bs1 [1,0,0,-1531888,732929392] 1 [7639494:221922820:4913]
115150bt (2 curves)	1	2- 5+ 7- 47+	2-  1 5+ 7-  3  2  0 -2
Curve Equation t Generators 115150bt1 [1,0,0,4262,-512408] 1 [78769548:167463140:1225043] 115150bt2 [1,0,0,-38613,14365217] 1 [508:10967:1]
115150bu (2 curves)	1	2- 5+ 7- 47+	2-  1 5+ 7-  3  5  6  1
Curve Equation t Generators 115150bu1 [1,0,0,-7071338,-7238287708] 1 [-3373396:1731198:2197] 115150bu2 [1,0,0,-7775713,-5709334583] 1 [-918:26059:1]
115150bv (1 curve)	1	2- 5+ 7- 47+	2-  1 5+ 7- -3 -5  2  7
Curve Equation t Generators 115150bv1 [1,0,0,-53313,-4715383] 1 [-128:189:1]
115150bw (2 curves)	1	2- 5+ 7- 47+	2-  1 5+ 7- -6 -4  3 -2
Curve Equation t Generators 115150bw1 [1,0,0,-61398,-5860828] 1 [8938:840222:1] 115150bw2 [1,0,0,-60173,-6105583] 1 [386:5119:1]
115150bx (1 curve)	1	2- 5+ 7- 47+	2- -1 5+ 7-  5  4  5 -1
Curve Equation t Generators 115150bx1 [1,1,1,-37633,-2847489] 1 [1119:36288:1]
115150by (2 curves)	1	2- 5+ 7- 47+	2-  2 5+ 7-  0 -2  4 -8
Curve Equation t Generators 115150by1 [1,1,1,-108963,13785281] 2 [105:1822:1] 115150by2 [1,1,1,-136963,6113281] 2 [349:812:1]
115150bz (2 curves)	1	2- 5+ 7- 47+	2-  2 5+ 7-  2 -2  2 -4
Curve Equation t Generators 115150bz1 [1,1,1,-431838,108259031] 2 [6717830790:-57803187029:22425768] 115150bz2 [1,1,1,-738088,-65690969] 2 [-319574823533970:12591797229584383:1135932426504]
115150ca (4 curves)	1	2- 5+ 7- 47+	2- -2 5+ 7-  0  2  0  4
Curve Equation t Generators 115150ca1 [1,0,0,-309338,9865792] 2 [-21612:568181:64] 115150ca2 [1,0,0,1221912,78772042] 2 [68998436:3934053657:140608] 115150ca3 [1,0,0,-18531213,30703006417] 2 [2342:11079:1] 115150ca4 [1,0,0,-18286213,31554381417] 2 [2692:41529:1]
115150cb (2 curves)	1	2- 5+ 7- 47+	2- -2 5+ 7-  2 -6 -6 -8
Curve Equation t Generators 115150cb1 [1,0,0,-335063,-68415383] 2 [-338:2669:1] 115150cb2 [1,0,0,-5235063,-4610715383] 2 [-1318:709:1]
115150cc (2 curves)	1	2- 5+ 7- 47+	2- -2 5+ 7- -4 -2  4  4
Curve Equation t Generators 115150cc1 [1,0,0,-14113,375717] 2 [-58:1029:1] 115150cc2 [1,0,0,-99863,-11886533] 2 [-10572:26411:64]
115150cd (1 curve)	1	2- 5+ 7- 47+	2- -3 5+ 7- -2 -6  3  6
Curve Equation t Generators 115150cd1 [1,-1,1,15,-3] 1 [3:6:1]
115150ce (2 curves)	2	2- 5+ 7- 47-	2-  0 5+ 7-  0 -4  0 -8
Curve Equation t Generators 115150ce1 [1,-1,1,-6880,1359747] 2 [-81:1215:1]&[-75:1241:1] 115150ce2 [1,-1,1,-230880,42575747] 2 [345:-2147:1]&[219:1465:1]
115150cf (1 curve)	2	2- 5+ 7- 47-	2-  0 5+ 7- -2 -4  0  1
Curve Equation t Generators 115150cf1 [1,-1,1,260,3847] 1 [-5:51:1]&[655:16431:1]
115150cg (1 curve)	0	2- 5+ 7- 47-	2-  1 5+ 7- -2 -4 -5 -6
Curve Equation t 115150cg1 [1,0,0,-638,-58108] 1
115150ch (2 curves)	0	2- 5+ 7- 47-	2-  1 5+ 7-  6 -4  3 -2
Curve Equation t 115150ch1 [1,0,0,220842,-11908828] 1 115150ch2 [1,0,0,-2600333,1851759377] 1
115150ci (1 curve)	0	2- 5+ 7- 47-	2- -1 5+ 7-  0 -2 -6 -2
Curve Equation t 115150ci1 [1,1,1,-151313,-31121469] 1
115150cj (1 curve)	0	2- 5+ 7- 47-	2- -1 5+ 7-  1  2  0  2
Curve Equation t 115150cj1 [1,1,1,-143335438,-783081452469] 1
115150ck (1 curve)	0	2- 5+ 7- 47-	2- -1 5+ 7-  1  4 -3 -5
Curve Equation t 115150ck1 [1,1,1,587,-99] 1
115150cl (1 curve)	0	2- 5+ 7- 47-	2- -1 5+ 7-  1 -5  0 -5
Curve Equation t 115150cl1 [1,1,1,-119463,-13836719] 1
115150cm (2 curves)	0	2- 5+ 7- 47-	2-  2 5+ 7-  0 -2  0  4
Curve Equation t 115150cm1 [1,1,1,-20094313,34660707031] 2 115150cm2 [1,1,1,-19114313,38194587031] 2
115150cn (2 curves)	0	2- 5+ 7- 47-	2-  2 5+ 7- -2  2  6 -4
Curve Equation t 115150cn1 [1,1,1,-11663,-386219] 2 115150cn2 [1,1,1,-60663,5395781] 2
115150co (2 curves)	0	2- 5+ 7- 47-	2-  2 5+ 7- -4  2 -4 -4
Curve Equation t 115150co1 [1,1,1,-288,-1219] 2 115150co2 [1,1,1,-2038,33781] 2
115150cp (2 curves)	0	2- 5+ 7- 47-	2- -2 5+ 7-  0  2 -4  8
Curve Equation t 115150cp1 [1,0,0,-5339188,-4744369008] 2 115150cp2 [1,0,0,-6711188,-2116989008] 2
115150cq (1 curve)	0	2- 5+ 7- 47-	2-  3 5+ 7-  1 -4 -3 -5
Curve Equation t 115150cq1 [1,-1,1,9105195,12611582197] 1
115150cr (1 curve)	0	2- 5+ 7- 47-	2-  3 5+ 7-  4  2  6 -2
Curve Equation t 115150cr1 [1,-1,1,-44997105,-135179011103] 1
115150cs (1 curve)	2	2- 5+ 7- 47-	2- -3 5+ 7- -2  2 -6 -8
Curve Equation t Generators 115150cs1 [1,-1,1,-20355,1158147] 1 [459:9170:1]&[-141:1170:1]
115150ct (2 curves)	0	2- 5- 7- 47+	2-  1 5- 7- -3  1  2 -5
Curve Equation t 115150ct1 [1,0,0,-190023,31867037] 1 115150ct2 [1,0,0,-436248,-65649088] 1
115150cu (2 curves)	0	2- 5- 7- 47+	2-  2 5- 7-  0  4 -6 -5
Curve Equation t 115150cu1 [1,1,1,-22007763,-40926092719] 1 115150cu2 [1,1,1,104657237,-141636282719] 1
115150cv (1 curve)	2	2- 5- 7- 47+	2- -2 5- 7- -4 -2 -6 -1
Curve Equation t Generators 115150cv1 [1,0,0,-988,18192] 1 [32:124:1]&[-34:130:1]
115150cw (1 curve)	0	2- 5- 7- 47+	2- -3 5- 7- -5 -1 -6  5
Curve Equation t 115150cw1 [1,-1,1,-8805,35697] 1
115150cx (1 curve)	1	2- 5- 7- 47-	2-  2 5- 7- -4  2  6  1
Curve Equation t Generators 115150cx1 [1,1,1,-48413,-6288269] 1 [311:2820:1]
115150cy (1 curve)	1	2- 5- 7- 47-	2- -2 5- 7-  0  0 -2  5
Curve Equation t Generators 115150cy1 [1,0,0,-956138,-359942108] 1 [1756:57230:1]

Data from Elliptic Curve Data by J. E. Cremona.
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