Cremona's table of elliptic curves

90048 = 2⁶ · 3 · 7 · 67

Class	r	Atkin-Lehner	Eigenvalues
90048a (2 curves)	1	2+ 3+ 7+ 67+	2+ 3+  0 7+ -4  0  2  6
Curve Equation t Generators 90048a1 [0,-1,0,-68,-66] 2 [35:198:1] 90048a2 [0,-1,0,247,-759] 2 [5:24:1]
90048b (4 curves)	1	2+ 3+ 7+ 67+	2+ 3+  2 7+ -4  2  2  0
Curve Equation t Generators 90048b1 [0,-1,0,-7252,-235298] 2 [571893:23313970:343] 90048b2 [0,-1,0,-7497,-218295] 4 [6665:544040:1] 90048b3 [0,-1,0,11263,-1152543] 2 [627242392:2747648385:8365427] 90048b4 [0,-1,0,-30177,1800225] 2 [225:2520:1]
90048c (4 curves)	1	2+ 3+ 7+ 67+	2+ 3+ -2 7+  4 -2 -6  8
Curve Equation t Generators 90048c1 [0,-1,0,237631,-32784447] 2 [25667:4112748:1] 90048c2 [0,-1,0,-1198849,-291063551] 4 [131878098015:2128829043136:99252847] 90048c3 [0,-1,0,-8552769,9423464769] 2 [82274860714966345210191:13116163526816301450772380:3197189124623788741] 90048c4 [0,-1,0,-16828609,-26558438207] 2 [3695713472695742877:-585662227621171519252:143211635177759]
90048d (1 curve)	0	2+ 3+ 7+ 67-	2+ 3+  2 7+ -5  5 -6  4
Curve Equation t 90048d1 [0,-1,0,-1057,-12887] 1
90048e (4 curves)	0	2+ 3+ 7+ 67-	2+ 3+ -2 7+ -4 -2  2  4
Curve Equation t 90048e1 [0,-1,0,-4404,113958] 2 90048e2 [0,-1,0,-4809,92169] 4 90048e3 [0,-1,0,12831,596673] 4 90048e4 [0,-1,0,-28929,-1813311] 2
90048f (1 curve)	2	2+ 3+ 7+ 67-	2+ 3+ -4 7+  2 -4 -3 -7
Curve Equation t Generators 90048f1 [0,-1,0,-15785,769251] 1 [86:201:1]&[70:49:1]
90048g (2 curves)	2	2+ 3+ 7- 67+	2+ 3+  0 7-  0  2 -6  0
Curve Equation t Generators 90048g1 [0,-1,0,107,1141] 2 [-3:28:1]&[186:1001:8] 90048g2 [0,-1,0,-1233,15345] 2 [-35:120:1]&[-27:168:1]
90048h (2 curves)	0	2+ 3+ 7- 67+	2+ 3+  0 7-  3  1  6 -2
Curve Equation t 90048h1 [0,-1,0,7,-1215] 1 90048h2 [0,-1,0,-8393,-293199] 1
90048i (2 curves)	0	2+ 3+ 7- 67+	2+ 3+ -2 7-  2  2  0  0
Curve Equation t 90048i1 [0,-1,0,-589,5629] 2 90048i2 [0,-1,0,-49,15025] 2
90048j (1 curve)	0	2+ 3+ 7- 67+	2+ 3+  4 7- -2  4  1 -1
Curve Equation t 90048j1 [0,-1,0,3019,-20307] 1
90048k (2 curves)	1	2+ 3+ 7- 67-	2+ 3+  0 7-  2 -6  0  4
Curve Equation t Generators 90048k1 [0,-1,0,-100595488,388376878018] 2 [49066:364413:8] 90048k2 [0,-1,0,-100595353,388377972409] 2 [1551:485884:1]
90048l (1 curve)	1	2+ 3+ 7- 67-	2+ 3+  0 7- -2  4 -3  5
Curve Equation t Generators 90048l1 [0,-1,0,-273,22851] 1 [-18:147:1]
90048m (1 curve)	1	2+ 3+ 7- 67-	2+ 3+  0 7-  3 -5 -2 -2
Curve Equation t Generators 90048m1 [0,-1,0,-33,105] 1 [8:17:1]
90048n (2 curves)	1	2+ 3+ 7- 67-	2+ 3+  0 7-  4  4 -6  2
Curve Equation t Generators 90048n1 [0,-1,0,-673,-39647] 2 [1609:64512:1] 90048n2 [0,-1,0,-22113,-1253151] 2 [552825:22089024:343]
90048o (1 curve)	1	2+ 3+ 7- 67-	2+ 3+  2 7-  0  0  1  3
Curve Equation t Generators 90048o1 [0,-1,0,-117,567] 1 [18:63:1]
90048p (4 curves)	1	2+ 3+ 7- 67-	2+ 3+  2 7-  4 -2  2  0
Curve Equation t Generators 90048p1 [0,-1,0,11423,-535583] 2 [307370927826678411:-3792894557866557440:3327368350049171] 90048p2 [0,-1,0,-70497,-5172255] 4 [-9679604:-99278515:85184] 90048p3 [0,-1,0,-413537,98357217] 2 [1754:34111:8] 90048p4 [0,-1,0,-1038177,-406759455] 2 [-1907051560538036:561495287381885:3260226191552]
90048q (4 curves)	1	2+ 3+ 7- 67-	2+ 3+ -2 7-  4  6  2 -8
Curve Equation t Generators 90048q1 [0,-1,0,-5629,-160691] 2 [756591:17856800:1331] 90048q2 [0,-1,0,-5649,-159471] 4 [2265:107712:1] 90048q3 [0,-1,0,-609,-438687] 2 [81:192:1] 90048q4 [0,-1,0,-11009,197505] 2 [-17:616:1]
90048r (2 curves)	1	2+ 3+ 7- 67-	2+ 3+ -2 7- -6 -2  0  4
Curve Equation t Generators 90048r1 [0,-1,0,-589,-6467] 2 [36:133:1] 90048r2 [0,-1,0,-9969,-379791] 2 [304:4959:1]
90048s (1 curve)	1	2+ 3+ 7- 67-	2+ 3+  4 7- -3 -1 -6  2
Curve Equation t Generators 90048s1 [0,-1,0,-7761,276633] 1 [32:245:1]
90048t (2 curves)	0	2+ 3- 7+ 67+	2+ 3-  0 7+ -2 -6  0 -4
Curve Equation t 90048t1 [0,1,0,-100595488,-388376878018] 2 90048t2 [0,1,0,-100595353,-388377972409] 2
90048u (2 curves)	0	2+ 3- 7+ 67+	2+ 3- -4 7+  4 -4  2 -2
Curve Equation t 90048u1 [0,1,0,-1345,-23521] 2 90048u2 [0,1,0,-22785,-1331361] 2
90048v (2 curves)	1	2+ 3- 7- 67+	2+ 3-  2 7-  0  0  2  2
Curve Equation t Generators 90048v1 [0,1,0,-117,-165] 2 [10195:91812:125] 90048v2 [0,1,0,-1457,-21873] 2 [327:5880:1]
90048w (1 curve)	1	2+ 3- 7- 67+	2+ 3-  2 7-  0  0  5 -7
Curve Equation t Generators 90048w1 [0,1,0,3243,20837043] 1 [-258:1701:1]
90048x (4 curves)	1	2+ 3- 7- 67+	2+ 3- -2 7-  4 -2  2 -4
Curve Equation t Generators 90048x1 [0,1,0,-4404,-113958] 2 [1146:11907:8] 90048x2 [0,1,0,-4809,-92169] 4 [-49:168:1] 90048x3 [0,1,0,12831,-596673] 2 [77:924:1] 90048x4 [0,1,0,-28929,1813311] 4 [-129:1848:1]
90048y (2 curves)	0	2+ 3- 7- 67-	2+ 3-  0 7-  4  0  2 -6
Curve Equation t 90048y1 [0,1,0,-68,66] 2 90048y2 [0,1,0,247,759] 2
90048z (4 curves)	0	2+ 3- 7- 67-	2+ 3-  2 7-  4  2  2  0
Curve Equation t 90048z1 [0,1,0,-7252,235298] 2 90048z2 [0,1,0,-7497,218295] 4 90048z3 [0,1,0,11263,1152543] 2 90048z4 [0,1,0,-30177,-1800225] 2
90048ba (1 curve)	0	2+ 3- 7- 67-	2+ 3- -2 7-  3  3  6 -4
Curve Equation t 90048ba1 [0,1,0,-49,-553] 1
90048bb (2 curves)	0	2+ 3- 7- 67-	2+ 3-  4 7-  4  6  6 -4
Curve Equation t 90048bb1 [0,1,0,8621899,-44923150053] 2 90048bb2 [0,1,0,-149027761,-654869684593] 2
90048bc (1 curve)	0	2- 3+ 7+ 67+	2- 3+ -2 7+ -3  3  6  4
Curve Equation t 90048bc1 [0,-1,0,-49,553] 1
90048bd (2 curves)	0	2- 3+ 7+ 67+	2- 3+  4 7+ -4  6  6  4
Curve Equation t 90048bd1 [0,-1,0,8621899,44923150053] 2 90048bd2 [0,-1,0,-149027761,654869684593] 2
90048be (2 curves)	1	2- 3+ 7+ 67-	2- 3+  2 7+  0  0  2 -2
Curve Equation t Generators 90048be1 [0,-1,0,-117,165] 2 [10:35:8] 90048be2 [0,-1,0,-1457,21873] 2 [11:84:1]
90048bf (1 curve)	1	2- 3+ 7+ 67-	2- 3+  2 7+  0  0  5  7
Curve Equation t Generators 90048bf1 [0,-1,0,3243,-20837043] 1 [18431027292:404735132025:33698267]
90048bg (2 curves)	1	2- 3+ 7+ 67-	2- 3+  2 7+  0  4  2 -2
Curve Equation t Generators 90048bg1 [0,-1,0,-5192,-133962] 2 [-1341294829:-44829126:27270901] 90048bg2 [0,-1,0,-81737,-8967255] 2 [-1823384182764214:2249476365485:11050823586824]
90048bh (2 curves)	1	2- 3+ 7- 67+	2- 3+  2 7-  4  4 -2  2
Curve Equation t Generators 90048bh1 [0,-1,0,-152,462] 2 [-668:1813:64] 90048bh2 [0,-1,0,-1097,-13335] 2 [-422660:366115:21952]
90048bi (2 curves)	1	2- 3+ 7- 67+	2- 3+  4 7-  0 -2  2 -8
Curve Equation t Generators 90048bi1 [0,-1,0,-365296,-81792122] 2 [-7964441097864:-40387498678765:23689358848] 90048bi2 [0,-1,0,170519,-302012087] 2 [18450443854112231777855880:-856917020582458642742732083:8604690205773936448000]
90048bj (2 curves)	2	2- 3+ 7- 67-	2- 3+ -4 7- -4 -4  2  2
Curve Equation t Generators 90048bj1 [0,-1,0,-1345,23521] 2 [-11:192:1]&[7:120:1] 90048bj2 [0,-1,0,-22785,1331361] 2 [101:-224:1]&[-155:1056:1]
90048bk (1 curve)	1	2- 3- 7+ 67+	2- 3-  0 7+  2  4 -3 -5
Curve Equation t Generators 90048bk1 [0,1,0,-273,-22851] 1 [38700:247303:729]
90048bl (1 curve)	1	2- 3- 7+ 67+	2- 3-  0 7+ -3 -5 -2  2
Curve Equation t Generators 90048bl1 [0,1,0,-33,-105] 1 [2870:5685:343]
90048bm (2 curves)	1	2- 3- 7+ 67+	2- 3-  0 7+ -4  4 -6 -2
Curve Equation t Generators 90048bm1 [0,1,0,-673,39647] 2 [23:192:1] 90048bm2 [0,1,0,-22113,1253151] 2 [135:-864:1]
90048bn (1 curve)	1	2- 3- 7+ 67+	2- 3-  2 7+  0  0  1 -3
Curve Equation t Generators 90048bn1 [0,1,0,-117,-567] 1 [24:105:1]
90048bo (4 curves)	1	2- 3- 7+ 67+	2- 3-  2 7+ -4 -2  2  0
Curve Equation t Generators 90048bo1 [0,1,0,11423,535583] 2 [3722:82665:8] 90048bo2 [0,1,0,-70497,5172255] 4 [53:1260:1] 90048bo3 [0,1,0,-413537,-98357217] 2 [919:17280:1] 90048bo4 [0,1,0,-1038177,406759455] 2 [75745:91332:125]
90048bp (4 curves)	1	2- 3- 7+ 67+	2- 3- -2 7+ -4  6  2  8
Curve Equation t Generators 90048bp1 [0,1,0,-5629,160691] 2 [394:585:8] 90048bp2 [0,1,0,-5649,159471] 4 [-3:420:1] 90048bp3 [0,1,0,-609,438687] 2 [21:660:1] 90048bp4 [0,1,0,-11009,-197505] 2 [-41:432:1]
90048bq (2 curves)	1	2- 3- 7+ 67+	2- 3- -2 7+  6 -2  0 -4
Curve Equation t Generators 90048bq1 [0,1,0,-589,6467] 2 [-1:84:1] 90048bq2 [0,1,0,-9969,379791] 2 [45:156:1]
90048br (1 curve)	1	2- 3- 7+ 67+	2- 3-  4 7+  3 -1 -6 -2
Curve Equation t Generators 90048br1 [0,1,0,-7761,-276633] 1 [4218:273915:1]
90048bs (2 curves)	0	2- 3- 7+ 67-	2- 3-  0 7+  0  2 -6  0
Curve Equation t 90048bs1 [0,1,0,107,-1141] 2 90048bs2 [0,1,0,-1233,-15345] 2
90048bt (2 curves)	0	2- 3- 7+ 67-	2- 3-  0 7+ -3  1  6  2
Curve Equation t 90048bt1 [0,1,0,7,1215] 1 90048bt2 [0,1,0,-8393,293199] 1
90048bu (2 curves)	0	2- 3- 7+ 67-	2- 3-  2 7+ -4  4 -2 -2
Curve Equation t 90048bu1 [0,1,0,-152,-462] 2 90048bu2 [0,1,0,-1097,13335] 2
90048bv (2 curves)	0	2- 3- 7+ 67-	2- 3- -2 7+ -2  2  0  0
Curve Equation t 90048bv1 [0,1,0,-589,-5629] 2 90048bv2 [0,1,0,-49,-15025] 2
90048bw (2 curves)	0	2- 3- 7+ 67-	2- 3-  4 7+  0 -2  2  8
Curve Equation t 90048bw1 [0,1,0,-365296,81792122] 2 90048bw2 [0,1,0,170519,302012087] 2
90048bx (1 curve)	0	2- 3- 7+ 67-	2- 3-  4 7+  2  4  1  1
Curve Equation t 90048bx1 [0,1,0,3019,20307] 1
90048by (2 curves)	0	2- 3- 7- 67+	2- 3-  2 7-  0  4  2  2
Curve Equation t 90048by1 [0,1,0,-5192,133962] 2 90048by2 [0,1,0,-81737,8967255] 2
90048bz (1 curve)	0	2- 3- 7- 67+	2- 3-  2 7-  5  5 -6 -4
Curve Equation t 90048bz1 [0,1,0,-1057,12887] 1
90048ca (1 curve)	0	2- 3- 7- 67+	2- 3- -4 7- -2 -4 -3  7
Curve Equation t 90048ca1 [0,1,0,-15785,-769251] 1
90048cb (4 curves)	1	2- 3- 7- 67-	2- 3- -2 7- -4 -2 -6 -8
Curve Equation t Generators 90048cb1 [0,1,0,237631,32784447] 2 [-62:4221:1] 90048cb2 [0,1,0,-1198849,291063551] 4 [1391:-36288:1] 90048cb3 [0,1,0,-8552769,-9423464769] 2 [-1563:11340:1] 90048cb4 [0,1,0,-16828609,26558438207] 2 [-2401:230496:1]

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