Cremona's table of elliptic curves

107415 = 3² · 5 · 7 · 11 · 31

Class	r	Atkin-Lehner	Eigenvalues
107415a (1 curve)	1	3+ 5+ 7+ 11+ 31+	0 3+ 5+ 7+ 11+  0 -3  5
Curve Equation t Generators 107415a1 [0,0,1,-3888,138719] 1 [-57:418:1]
107415b (1 curve)	1	3+ 5+ 7- 11+ 31-	0 3+ 5+ 7- 11+ -4 -1  1
Curve Equation t Generators 107415b1 [0,0,1,-60318,5730679] 1 [241:2278:1]
107415c (1 curve)	1	3+ 5- 7+ 11- 31+	0 3+ 5- 7+ 11-  0  3  5
Curve Equation t Generators 107415c1 [0,0,1,-432,-5138] 1 [112:1162:1]
107415d (1 curve)	1	3+ 5- 7- 11- 31-	0 3+ 5- 7- 11- -4  1  1
Curve Equation t Generators 107415d1 [0,0,1,-542862,-154728340] 1 [1230:32224:1]
107415e (4 curves)	0	3- 5+ 7+ 11+ 31+	1 3- 5+ 7+ 11+ -2 -2  8
Curve Equation t 107415e1 [1,-1,0,-391860,94513675] 2 107415e2 [1,-1,0,-395505,92668576] 4 107415e3 [1,-1,0,161370,332458951] 2 107415e4 [1,-1,0,-1010700,-265251875] 2
107415f (6 curves)	1	3- 5+ 7+ 11+ 31-	1 3- 5+ 7+ 11+  6 -2  4
Curve Equation t Generators 107415f1 [1,-1,0,-752850,3943691455] 2 [1362:73099:1] 107415f2 [1,-1,0,-42311295,105088634896] 4 [4043190:7946083:1000] 107415f3 [1,-1,0,-74096370,-74134688999] 2 [422543190:-274821003917:1000] 107415f4 [1,-1,0,-675461340,6757089637675] 4 [50730561577490:-27060673559245:3381754501] 107415f5 [1,-1,0,-673942185,6788995234816] 2 [-156848541275506320531330:16744436123054100043742119:6144273855170893000] 107415f6 [1,-1,0,-10807381215,432445650417850] 2 [411593390:-243533020:6859]
107415g (1 curve)	1	3- 5+ 7+ 11+ 31-	-2 3- 5+ 7+ 11+  2  5 -1
Curve Equation t Generators 107415g1 [0,0,1,-565663773,5178298216378] 1 [13708:6277:1]
107415h (1 curve)	1	3- 5+ 7+ 11+ 31-	-2 3- 5+ 7+ 11+  2 -5 -1
Curve Equation t Generators 107415h1 [0,0,1,-11793,-496692] 1 [849:24524:1]
107415i (1 curve)	1	3- 5+ 7+ 11+ 31-	-2 3- 5+ 7+ 11+  6 -3 -1
Curve Equation t Generators 107415i1 [0,0,1,2097,11144] 1 [106:1193:1]
107415j (4 curves)	1	3- 5+ 7+ 11- 31+	-1 3- 5+ 7+ 11-  2 -2 -4
Curve Equation t Generators 107415j1 [1,-1,1,-1643,10266] 2 [6:21:1] 107415j2 [1,-1,1,-21488,1216842] 4 [110:-474:1] 107415j3 [1,-1,1,-16763,1763052] 2 [75:-999:1] 107415j4 [1,-1,1,-343733,77653356] 2 [341:-99:1]
107415k (4 curves)	1	3- 5+ 7+ 11- 31+	-1 3- 5+ 7+ 11- -2  6  4
Curve Equation t Generators 107415k1 [1,-1,1,-79133,-8327644] 2 [2418:116830:1] 107415k2 [1,-1,1,-187178,19418312] 4 [-428:4795:1] 107415k3 [1,-1,1,564727,135813206] 2 [-149:7027:1] 107415k4 [1,-1,1,-2667803,1677468062] 2 [-1688:37842:1]
107415l (2 curves)	1	3- 5+ 7+ 11- 31+	-1 3- 5+ 7+ 11- -4 -6  4
Curve Equation t Generators 107415l1 [1,-1,1,-153878,-10840044] 2 [-94:1716:1] 107415l2 [1,-1,1,535027,-81659478] 2 [170:3681:1]
107415m (4 curves)	2	3- 5+ 7+ 11- 31-	1 3- 5+ 7+ 11- -2 -2  0
Curve Equation t Generators 107415m1 [1,-1,0,1665,192240] 2 [16:464:1]&[174:3819:8] 107415m2 [1,-1,0,-41580,3124251] 4 [-1146:20373:8]&[-38:2175:1] 107415m3 [1,-1,0,-118305,-11652984] 2 [3630:40467:8]&[17006:764619:8] 107415m4 [1,-1,0,-656775,205031250] 2 [-918:6264:1]&[-150:17400:1]
107415n (6 curves)	1	3- 5+ 7- 11+ 31+	1 3- 5+ 7- 11+ -2  6  4
Curve Equation t Generators 107415n1 [1,-1,0,-253260,-44688245] 2 [-294:2219:1] 107415n2 [1,-1,0,-912105,285920176] 4 [-748:23810:1] 107415n3 [1,-1,0,1619820,1588848781] 2 [-2354:264895:8] 107415n4 [1,-1,0,-13985550,20134024375] 4 [-622:169403:1] 107415n5 [1,-1,0,-13379175,21958849300] 2 [-4626:1376399:8] 107415n6 [1,-1,0,-223767045,1288430986846] 2 [15683330214:-7790626357:1815848]
107415o (1 curve)	0	3- 5+ 7- 11- 31+	-1 3- 5+ 7- 11-  6  0 -1
Curve Equation t 107415o1 [1,-1,1,247,-588] 1
107415p (4 curves)	0	3- 5+ 7- 11- 31+	-1 3- 5+ 7- 11-  6  6 -4
Curve Equation t 107415p1 [1,-1,1,-2361893,31035516] 2 107415p2 [1,-1,1,-26276738,51706232592] 4 107415p3 [1,-1,1,-15090233,96036114606] 2 107415p4 [1,-1,1,-420100763,3314301985302] 2
107415q (4 curves)	1	3- 5+ 7- 11- 31-	-1 3- 5+ 7- 11-  2  6  8
Curve Equation t Generators 107415q1 [1,-1,1,247,-8904] 2 [42:251:1] 107415q2 [1,-1,1,-5198,-135228] 4 [-42:108:1] 107415q3 [1,-1,1,-15593,584106] 2 [122:636:1] 107415q4 [1,-1,1,-81923,-9004638] 2 [341:1449:1]
107415r (2 curves)	0	3- 5- 7+ 11+ 31-	1 3- 5- 7+ 11+ -6  2  2
Curve Equation t 107415r1 [1,-1,0,2961,-390960] 2 107415r2 [1,-1,0,-65394,-6091767] 2
107415s (1 curve)	0	3- 5- 7+ 11- 31+	0 3- 5- 7+ 11- -6  3 -1
Curve Equation t 107415s1 [0,0,1,1220298,232401757] 1
107415t (4 curves)	0	3- 5- 7- 11+ 31+	1 3- 5- 7- 11+ -6  6 -4
Curve Equation t 107415t1 [1,-1,0,-12159,-512960] 2 107415t2 [1,-1,0,-13284,-411485] 4 107415t3 [1,-1,0,35541,-2764850] 2 107415t4 [1,-1,0,-80109,8422780] 2
107415u (2 curves)	1	3- 5- 7- 11+ 31-	1 3- 5- 7- 11+ -6 -6  2
Curve Equation t Generators 107415u1 [1,-1,0,25313526,44007184543] 2 [182:220409:1] 107415u2 [1,-1,0,-138806829,407599419010] 2 [-8554:988652:1]
107415v (2 curves)	1	3- 5- 7- 11+ 31-	-1 3- 5- 7- 11+ -4 -2  0
Curve Equation t Generators 107415v1 [1,-1,1,-257,1176] 2 [-16:39:1] 107415v2 [1,-1,1,688,7224] 2 [14:-147:1]
107415w (2 curves)	1	3- 5- 7- 11- 31+	1 3- 5- 7- 11-  2  2  6
Curve Equation t Generators 107415w1 [1,-1,0,-4464,-121797] 2 [160062:3337125:343] 107415w2 [1,-1,0,-72819,-7545150] 2 [1866:78762:1]

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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