Cremona's table of elliptic curves

61950 = 2 · 3 · 5² · 7 · 59

Class	r	Atkin-Lehner	Eigenvalues
61950a (2 curves)	1	2+ 3+ 5+ 7+ 59+	2+ 3+ 5+ 7+  0  4  0  2
Curve Equation t Generators 61950a1 [1,1,0,33425,8777125] 1 [-154:161:1] 61950a2 [1,1,0,-304075,-251435375] 1 [54422416:59730031:68921]
61950b (2 curves)	1	2+ 3+ 5+ 7+ 59+	2+ 3+ 5+ 7+  3 -2  3 -1
Curve Equation t Generators 61950b1 [1,1,0,-992775,380323125] 1 [615:1380:1] 61950b2 [1,1,0,-826275,512222625] 1 [-45:23460:1]
61950c (1 curve)	0	2+ 3+ 5+ 7+ 59-	2+ 3+ 5+ 7+  0 -4 -3  5
Curve Equation t 61950c1 [1,1,0,-1575,70875] 1
61950d (2 curves)	0	2+ 3+ 5+ 7+ 59-	2+ 3+ 5+ 7+  4  0  2  2
Curve Equation t 61950d1 [1,1,0,-875,-7875] 2 61950d2 [1,1,0,2125,-46875] 2
61950e (2 curves)	0	2+ 3+ 5+ 7+ 59-	2+ 3+ 5+ 7+ -4  6 -4 -4
Curve Equation t 61950e1 [1,1,0,-5600,0] 2 61950e2 [1,1,0,22400,28000] 2
61950f (1 curve)	0	2+ 3+ 5+ 7- 59+	2+ 3+ 5+ 7- -5  5  7 -8
Curve Equation t 61950f1 [1,1,0,-481575,141427125] 1
61950g (4 curves)	1	2+ 3+ 5+ 7- 59-	2+ 3+ 5+ 7-  4  6 -6 -4
Curve Equation t Generators 61950g1 [1,1,0,-77525,-10489875] 2 [2244487192305:-5833517635215:6761990971] 61950g2 [1,1,0,-1327525,-589239875] 4 [-6124146:2838935:9261] 61950g3 [1,1,0,-1415025,-507252375] 2 [-18060:-311045:27] 61950g4 [1,1,0,-21240025,-37686227375] 2 [-5594136250101:2797288975235:2102071041]
61950h (1 curve)	1	2+ 3+ 5+ 7- 59-	2+ 3+ 5+ 7- -5  3  3  8
Curve Equation t Generators 61950h1 [1,1,0,-2865,59445] 1 [39:75:1]
61950i (2 curves)	0	2+ 3+ 5- 7+ 59+	2+ 3+ 5- 7+  0  2  4 -2
Curve Equation t 61950i1 [1,1,0,-34465895,77866799925] 2 61950i2 [1,1,0,-34560295,77418683125] 2
61950j (2 curves)	0	2+ 3+ 5- 7+ 59+	2+ 3+ 5- 7+  0 -4 -2 -2
Curve Equation t 61950j1 [1,1,0,-73075,-7257875] 2 61950j2 [1,1,0,-1153075,-477057875] 2
61950k (2 curves)	0	2+ 3+ 5- 7+ 59+	2+ 3+ 5- 7+  0  6  0 -2
Curve Equation t 61950k1 [1,1,0,-1811075,641122125] 2 61950k2 [1,1,0,-11251075,-14038077875] 2
61950l (2 curves)	0	2+ 3+ 5- 7+ 59+	2+ 3+ 5- 7+ -3 -4  7  5
Curve Equation t 61950l1 [1,1,0,-1142575,-474012875] 1 61950l2 [1,1,0,7744300,14452434000] 1
61950m (2 curves)	0	2+ 3+ 5- 7+ 59+	2+ 3+ 5- 7+ -4  2 -2  0
Curve Equation t 61950m1 [1,1,0,-40700,-1566000] 2 61950m2 [1,1,0,139300,-11466000] 2
61950n (1 curve)	0	2+ 3+ 5- 7- 59-	2+ 3+ 5- 7-  4 -4 -3 -1
Curve Equation t 61950n1 [1,1,0,-68075,-7087875] 1
61950o (1 curve)	2	2+ 3- 5+ 7+ 59+	2+ 3- 5+ 7+ -3 -3 -7  6
Curve Equation t Generators 61950o1 [1,0,1,-206,1118] 1 [-12:49:1]&[6:7:1]
61950p (4 curves)	0	2+ 3- 5+ 7+ 59+	2+ 3- 5+ 7+  4 -2  2 -4
Curve Equation t 61950p1 [1,0,1,-64151,6048698] 2 61950p2 [1,0,1,-162151,-16883302] 4 61950p3 [1,0,1,457349,-114764302] 2 61950p4 [1,0,1,-2349651,-1386258302] 2
61950q (1 curve)	0	2+ 3- 5+ 7+ 59+	2+ 3- 5+ 7+  4  4 -7 -1
Curve Equation t 61950q1 [1,0,1,-70898451,-229781149202] 1
61950r (1 curve)	0	2+ 3- 5+ 7+ 59+	2+ 3- 5+ 7+ -4  2  6 -2
Curve Equation t 61950r1 [1,0,1,-1,4148] 1
61950s (4 curves)	0	2+ 3- 5+ 7+ 59+	2+ 3- 5+ 7+ -4  2 -6  4
Curve Equation t 61950s1 [1,0,1,-6697601,-6647016652] 2 61950s2 [1,0,1,-107049601,-426319080652] 4 61950s3 [1,0,1,-106937601,-427255624652] 2 61950s4 [1,0,1,-1712793601,-27283993224652] 2
61950t (4 curves)	0	2+ 3- 5+ 7+ 59+	2+ 3- 5+ 7+ -4 -2  6 -4
Curve Equation t 61950t1 [1,0,1,-100776,-4339802] 2 61950t2 [1,0,1,-1301276,-570975802] 4 61950t3 [1,0,1,-995026,-846600802] 2 61950t4 [1,0,1,-20815526,-36555252802] 2
61950u (2 curves)	2	2+ 3- 5+ 7+ 59+	2+ 3- 5+ 7+ -6 -6  2  0
Curve Equation t Generators 61950u1 [1,0,1,-32001,-1547852] 2 [-133:666:1]&[-914:6753:8] 61950u2 [1,0,1,85999,-10279852] 2 [207:-4154:1]&[132:1771:1]
61950v (4 curves)	1	2+ 3- 5+ 7+ 59-	2+ 3- 5+ 7+  0 -2  2  4
Curve Equation t Generators 61950v1 [1,0,1,-3776,11198] 2 [72:301:1] 61950v2 [1,0,1,-44276,3575198] 4 [-93:2671:1] 61950v3 [1,0,1,-28526,6158198] 2 [-78:2851:1] 61950v4 [1,0,1,-708026,229250198] 2 [486:-233:1]
61950w (1 curve)	1	2+ 3- 5+ 7+ 59-	2+ 3- 5+ 7+  0 -4  0 -2
Curve Equation t Generators 61950w1 [1,0,1,844,6578] 1 [-69:1813:27]
61950x (2 curves)	1	2+ 3- 5+ 7+ 59-	2+ 3- 5+ 7+  0 -4 -6  6
Curve Equation t Generators 61950x1 [1,0,1,-1026,12448] 2 [32:-129:1] 61950x2 [1,0,1,-276,30448] 2 [22:176:1]
61950y (1 curve)	1	2+ 3- 5+ 7+ 59-	2+ 3- 5+ 7+ -1 -1  7  4
Curve Equation t Generators 61950y1 [1,0,1,-431,-4912] 1 [78:622:1]
61950z (1 curve)	1	2+ 3- 5+ 7+ 59-	2+ 3- 5+ 7+  3 -1  3  0
Curve Equation t Generators 61950z1 [1,0,1,291549,-10279202] 1 [653620:47188158:125]
61950ba (2 curves)	1	2+ 3- 5+ 7+ 59-	2+ 3- 5+ 7+  6  2 -6  4
Curve Equation t Generators 61950ba1 [1,0,1,-3197776,2200007198] 2 [-458:59966:1] 61950ba2 [1,0,1,-2725776,2872135198] 2 [1793:-62133:1]
61950bb (2 curves)	1	2+ 3- 5+ 7- 59+	2+ 3- 5+ 7-  0  0  0  4
Curve Equation t Generators 61950bb1 [1,0,1,-7701,-259952] 2 [-49:42:1] 61950bb2 [1,0,1,-11201,-952] 2 [-63:706:1]
61950bc (1 curve)	1	2+ 3- 5+ 7- 59+	2+ 3- 5+ 7-  3  5  3  0
Curve Equation t Generators 61950bc1 [1,0,1,-456,-32522] 1 [38:54:1]
61950bd (4 curves)	1	2+ 3- 5+ 7- 59+	2+ 3- 5+ 7-  4 -2 -2  4
Curve Equation t Generators 61950bd1 [1,0,1,-5051,132998] 2 [623:15144:1] 61950bd2 [1,0,1,-13051,-395002] 4 [-89:296:1] 61950bd3 [1,0,1,35949,-2649002] 2 [86:996:1] 61950bd4 [1,0,1,-190051,-31901002] 2 [2502:121861:1]
61950be (1 curve)	1	2+ 3- 5- 7+ 59+	2+ 3- 5- 7+  2  0  0  8
Curve Equation t Generators 61950be1 [1,0,1,-129826,18018548] 1 [253:1049:1]
61950bf (2 curves)	0	2+ 3- 5- 7- 59+	2+ 3- 5- 7-  0 -4 -3  5
Curve Equation t 61950bf1 [1,0,1,-357701,83348048] 3 61950bf2 [1,0,1,1312924,414739298] 1
61950bg (2 curves)	1	2+ 3- 5- 7- 59-	2+ 3- 5- 7-  0  2  2 -4
Curve Equation t Generators 61950bg1 [1,0,1,-2575576,-1591138702] 2 [-929:611:1] 61950bg2 [1,0,1,-2474326,-1721953702] 2 [2446:81611:1]
61950bh (2 curves)	1	2+ 3- 5- 7- 59-	2+ 3- 5- 7-  0  2 -4  2
Curve Equation t Generators 61950bh1 [1,0,1,-396,2938] 2 [13:-1:1] 61950bh2 [1,0,1,-6296,191738] 2 [47:-9:1]
61950bi (1 curve)	1	2+ 3- 5- 7- 59-	2+ 3- 5- 7- -1  4  3 -5
Curve Equation t Generators 61950bi1 [1,0,1,3049,10298] 1 [327:5836:1]
61950bj (4 curves)	0	2- 3+ 5+ 7+ 59+	2- 3+ 5+ 7+  0  4  0 -4
Curve Equation t 61950bj1 [1,1,1,-12263,400781] 2 61950bj2 [1,1,1,-183763,30241781] 2 61950bj3 [1,1,1,-324638,-71298469] 2 61950bj4 [1,1,1,-380638,-45090469] 2
61950bk (2 curves)	0	2- 3+ 5+ 7+ 59+	2- 3+ 5+ 7+  0  4  3  5
Curve Equation t 61950bk1 [1,1,1,-14308,661061] 1 61950bk2 [1,1,1,52517,3338921] 1
61950bl (4 curves)	0	2- 3+ 5+ 7+ 59+	2- 3+ 5+ 7+  0  4 -6  2
Curve Equation t 61950bl1 [1,1,1,-1310313,576707031] 2 61950bl2 [1,1,1,-1202313,675851031] 2 61950bl3 [1,1,1,-2924688,-1093816719] 2 61950bl4 [1,1,1,9363312,-7876792719] 2
61950bm (2 curves)	1	2- 3+ 5+ 7+ 59-	2- 3+ 5+ 7+  0 -2 -6  2
Curve Equation t Generators 61950bm1 [1,1,1,6637,8811281] 1 [531:12478:1] 61950bm2 [1,1,1,-59738,-237970969] 1 [681:5803:1]
61950bn (1 curve)	1	2- 3+ 5+ 7+ 59-	2- 3+ 5+ 7+  1  6  5  5
Curve Equation t Generators 61950bn1 [1,1,1,-2188,4780781] 1 [-1:2187:1]
61950bo (1 curve)	1	2- 3+ 5+ 7- 59+	2- 3+ 5+ 7- -1  6 -3 -1
Curve Equation t Generators 61950bo1 [1,1,1,6937,297281] 1 [-21:388:1]
61950bp (1 curve)	1	2- 3+ 5+ 7- 59+	2- 3+ 5+ 7-  2  0  0  8
Curve Equation t Generators 61950bp1 [1,1,1,-5193,142071] 1 [39:-48:1]
61950bq (2 curves)	0	2- 3+ 5+ 7- 59-	2- 3+ 5+ 7- -2  6  2  0
Curve Equation t 61950bq1 [1,1,1,-1672838,832076531] 2 61950bq2 [1,1,1,-1643338,862874531] 2
61950br (4 curves)	0	2- 3+ 5+ 7- 59-	2- 3+ 5+ 7-  4 -6  2  0
Curve Equation t 61950br1 [1,1,1,-11092088,-26074331719] 2 61950br2 [1,1,1,-215892088,-1220467931719] 4 61950br3 [1,1,1,-254772088,-750486491719] 4 61950br4 [1,1,1,-3453812088,-78127543771719] 2
61950bs (1 curve)	2	2- 3+ 5+ 7- 59-	2- 3+ 5+ 7- -5 -6 -1 -3
Curve Equation t Generators 61950bs1 [1,1,1,-81213,8904531] 1 [-185:-4108:1]&[165:92:1]
61950bt (1 curve)	1	2- 3+ 5- 7+ 59+	2- 3+ 5- 7+  3 -5 -3  0
Curve Equation t Generators 61950bt1 [1,1,1,-11388,-4065219] 1 [435:-8793:1]
61950bu (2 curves)	0	2- 3+ 5- 7+ 59-	2- 3+ 5- 7+  0 -2 -2 -4
Curve Equation t 61950bu1 [1,1,1,-103023,-12770319] 2 61950bu2 [1,1,1,-98973,-13815219] 2
61950bv (2 curves)	0	2- 3+ 5- 7+ 59-	2- 3+ 5- 7+  0 -2  4  2
Curve Equation t 61950bv1 [1,1,1,-9888,367281] 2 61950bv2 [1,1,1,-157388,23967281] 2
61950bw (1 curve)	2	2- 3+ 5- 7+ 59-	2- 3+ 5- 7+ -1 -4 -3 -5
Curve Equation t Generators 61950bw1 [1,1,1,122,131] 1 [-1:3:1]&[5:-33:1]
61950bx (1 curve)	0	2- 3+ 5- 7- 59+	2- 3+ 5- 7- -3  3  7  6
Curve Equation t 61950bx1 [1,1,1,-5138,139781] 1
61950by (1 curve)	0	2- 3+ 5- 7- 59+	2- 3+ 5- 7-  4 -4  7 -1
Curve Equation t 61950by1 [1,1,1,-2835938,-1839383569] 1
61950bz (1 curve)	1	2- 3+ 5- 7- 59-	2- 3+ 5- 7-  0  4  0 -2
Curve Equation t Generators 61950bz1 [1,1,1,21112,822281] 1 [485:10957:1]
61950ca (1 curve)	1	2- 3+ 5- 7- 59-	2- 3+ 5- 7- -1  1 -7  4
Curve Equation t Generators 61950ca1 [1,1,1,-10763,-613969] 1 [1230:8831:8]
61950cb (1 curve)	1	2- 3+ 5- 7- 59-	2- 3+ 5- 7-  3  1 -3  0
Curve Equation t Generators 61950cb1 [1,1,1,11662,-77569] 1 [345:6547:1]
61950cc (2 curves)	1	2- 3- 5+ 7+ 59+	2- 3- 5+ 7+ -2  2  2  0
Curve Equation t Generators 61950cc1 [1,0,0,-477063,80788617] 2 [-138:12069:1] 61950cc2 [1,0,0,1410937,562228617] 2 [922:-51911:1]
61950cd (2 curves)	1	2- 3- 5+ 7+ 59+	2- 3- 5+ 7+  4 -4  2 -6
Curve Equation t Generators 61950cd1 [1,0,0,-989463,41482917] 2 [-318:18159:1] 61950cd2 [1,0,0,3931287,331807167] 2 [19326:1227837:8]
61950ce (4 curves)	1	2- 3- 5+ 7+ 59+	2- 3- 5+ 7+ -4 -2 -6  4
Curve Equation t Generators 61950ce1 [1,0,0,-29588,1905792] 4 [-38:1744:1] 61950ce2 [1,0,0,-70088,-4452708] 4 [-92:1150:1] 61950ce3 [1,0,0,211162,-31171458] 2 [18014:862325:8] 61950ce4 [1,0,0,-999338,-384515958] 2 [-294904:294629:512]
61950cf (2 curves)	0	2- 3- 5+ 7+ 59-	2- 3- 5+ 7+  0  2  0  4
Curve Equation t 61950cf1 [1,0,0,-1838,20292] 2 61950cf2 [1,0,0,5162,139292] 2
61950cg (1 curve)	0	2- 3- 5+ 7+ 59-	2- 3- 5+ 7+  4  4  3 -1
Curve Equation t 61950cg1 [1,0,0,-2723,-56703] 1
61950ch (4 curves)	1	2- 3- 5+ 7- 59-	2- 3- 5+ 7-  0  2 -2 -4
Curve Equation t Generators 61950ch1 [1,0,0,-11813,-448383] 2 [-62:247:1] 61950ch2 [1,0,0,-43813,3039617] 4 [-154:2555:1] 61950ch3 [1,0,0,74187,16609617] 2 [72:-4761:1] 61950ch4 [1,0,0,-673813,212829617] 2 [482:59:1]
61950ci (2 curves)	1	2- 3- 5+ 7- 59-	2- 3- 5+ 7-  0 -4 -4 -4
Curve Equation t Generators 61950ci1 [1,0,0,-15763,-629983] 2 [-82:377:1] 61950ci2 [1,0,0,-239763,-45205983] 2 [-282:177:1]
61950cj (1 curve)	1	2- 3- 5+ 7- 59-	2- 3- 5+ 7-  3  2 -1 -7
Curve Equation t Generators 61950cj1 [1,0,0,-486550463,-12578963252583] 1 [34132:3235309:1]
61950ck (1 curve)	2	2- 3- 5- 7+ 59+	2- 3- 5- 7+ -5 -5 -7 -8
Curve Equation t Generators 61950ck1 [1,0,0,-19263,1131417] 1 [132:879:1]&[6:1005:1]
61950cl (1 curve)	1	2- 3- 5- 7+ 59-	2- 3- 5- 7+ -5 -3 -3  8
Curve Equation t Generators 61950cl1 [1,0,0,-71638,7573892] 1 [302:-3826:1]
61950cm (2 curves)	1	2- 3- 5- 7- 59+	2- 3- 5- 7-  0 -2 -4 -2
Curve Equation t Generators 61950cm1 [1,0,0,-861647388,9735073285392] 2 [16716:-60396:1] 61950cm2 [1,0,0,-864007388,9679063405392] 2 [19252:415624:1]
61950cn (2 curves)	1	2- 3- 5- 7- 59+	2- 3- 5- 7-  0  4  2 -2
Curve Equation t Generators 61950cn1 [1,0,0,-2923,-58063] 2 [-34:65:1] 61950cn2 [1,0,0,-46123,-3816463] 2 [-124:65:1]
61950co (2 curves)	1	2- 3- 5- 7- 59+	2- 3- 5- 7-  0 -4  0  2
Curve Equation t Generators 61950co1 [1,0,0,1337,70217] 3 [-28:119:1] 61950co2 [1,0,0,-12163,-2011483] 1 [206:1955:1]
61950cp (2 curves)	1	2- 3- 5- 7- 59+	2- 3- 5- 7-  0 -6  0 -2
Curve Equation t Generators 61950cp1 [1,0,0,-72443,5128977] 2 [-98:3409:1] 61950cp2 [1,0,0,-450043,-112304623] 2 [842:9869:1]
61950cq (2 curves)	1	2- 3- 5- 7- 59+	2- 3- 5- 7- -3  4 -7  5
Curve Equation t Generators 61950cq1 [1,0,0,-45703,-3792103] 1 [352:4699:1] 61950cq2 [1,0,0,309772,115619472] 5 [-278:2974:1]
61950cr (2 curves)	1	2- 3- 5- 7- 59+	2- 3- 5- 7- -4 -2  2  0
Curve Equation t Generators 61950cr1 [1,0,0,-1628,-12528] 2 [-32:100:1] 61950cr2 [1,0,0,5572,-91728] 2 [28:280:1]
61950cs (1 curve)	0	2- 3- 5- 7- 59-	2- 3- 5- 7-  0  4  3  5
Curve Equation t 61950cs1 [1,0,0,-63,567] 1

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