Cremona's table of elliptic curves

31416 = 2³ · 3 · 7 · 11 · 17

Class	r	Atkin-Lehner	Eigenvalues
31416a (1 curve)	1	2+ 3+ 7+ 11- 17-	2+ 3+ -1 7+ 11-  7 17- -2
Curve Equation t Generators 31416a1 [0,-1,0,-56,252] 1 [2:-12:1]
31416b (4 curves)	1	2+ 3+ 7+ 11- 17-	2+ 3+ -2 7+ 11- -2 17- -8
Curve Equation t Generators 31416b1 [0,-1,0,-7719,263484] 4 [-101:51:1] 31416b2 [0,-1,0,-9164,159444] 4 [-26:616:1] 31416b3 [0,-1,0,31976,1163260] 2 [161:3234:1] 31416b4 [0,-1,0,-73424,-7526052] 2 [313:242:1]
31416c (4 curves)	1	2+ 3+ 7- 11- 17+	2+ 3+ -2 7- 11-  2 17+ -4
Curve Equation t Generators 31416c1 [0,-1,0,-924,-5772] 2 [38:112:1] 31416c2 [0,-1,0,-6704,209244] 4 [25:238:1] 31416c3 [0,-1,0,776,643084] 2 [113:1470:1] 31416c4 [0,-1,0,-106664,13443948] 2 [193:98:1]
31416d (1 curve)	0	2+ 3- 7+ 11+ 17+	2+ 3- -1 7+ 11+  1 17+ -2
Curve Equation t 31416d1 [0,1,0,-108940536,437645563488] 1
31416e (1 curve)	0	2+ 3- 7+ 11+ 17+	2+ 3- -1 7+ 11+  1 17+ -7
Curve Equation t 31416e1 [0,1,0,4984,-79887] 1
31416f (4 curves)	1	2+ 3- 7+ 11+ 17-	2+ 3-  2 7+ 11+ -2 17- -4
Curve Equation t Generators 31416f1 [0,1,0,-327,1638] 4 [996:1515:64] 31416f2 [0,1,0,-1772,-27840] 4 [55:210:1] 31416f3 [0,1,0,1288,-111072] 2 [6362:179685:8] 31416f4 [0,1,0,-27952,-1808080] 2 [803:22230:1]
31416g (2 curves)	1	2+ 3- 7+ 11+ 17-	2+ 3-  2 7+ 11+  4 17- -4
Curve Equation t Generators 31416g1 [0,1,0,-6539072,6433913520] 2 [15276:1457920:27] 31416g2 [0,1,0,-6537112,6437965232] 2 [1399:5712:1]
31416h (1 curve)	1	2+ 3- 7- 11+ 17+	2+ 3-  3 7- 11+ -1 17+ -5
Curve Equation t Generators 31416h1 [0,1,0,-36464,-2755527] 1 [376:-6069:1]
31416i (2 curves)	0	2+ 3- 7- 11+ 17-	2+ 3-  2 7- 11+  0 17-  4
Curve Equation t 31416i1 [0,1,0,-1552,-23440] 2 31416i2 [0,1,0,408,-76752] 2
31416j (4 curves)	0	2+ 3- 7- 11- 17+	2+ 3-  2 7- 11-  6 17+ -4
Curve Equation t 31416j1 [0,1,0,-15212,-727200] 2 31416j2 [0,1,0,-16192,-629200] 4 31416j3 [0,1,0,36168,-3812688] 2 31416j4 [0,1,0,-84232,8841968] 2
31416k (4 curves)	0	2+ 3- 7- 11- 17+	2+ 3- -2 7- 11-  2 17+  0
Curve Equation t 31416k1 [0,1,0,-159,-690] 2 31416k2 [0,1,0,-764,7296] 4 31416k3 [0,1,0,776,34400] 2 31416k4 [0,1,0,-11984,500976] 2
31416l (2 curves)	1	2- 3+ 7+ 11+ 17-	2- 3+  0 7+ 11+  2 17-  2
Curve Equation t Generators 31416l1 [0,-1,0,-26388,1658724] 2 [2640:-1666:27] 31416l2 [0,-1,0,-26048,1703196] 2 [110:396:1]
31416m (1 curve)	1	2- 3+ 7- 11+ 17+	2- 3+ -3 7- 11+ -1 17+  3
Curve Equation t Generators 31416m1 [0,-1,0,28,129] 1 [4:-17:1]
31416n (1 curve)	1	2- 3- 7+ 11+ 17+	2- 3-  1 7+ 11+  5 17+ -6
Curve Equation t Generators 31416n1 [0,1,0,3520,-49008] 1 [16:108:1]
31416o (1 curve)	1	2- 3- 7+ 11- 17-	2- 3-  1 7+ 11- -1 17- -6
Curve Equation t Generators 31416o1 [0,1,0,-283360,-67107568] 1 [1232:-38148:1]
31416p (2 curves)	1	2- 3- 7+ 11- 17-	2- 3- -4 7+ 11- -6 17- -6
Curve Equation t Generators 31416p1 [0,1,0,-19860,158304] 2 [314:-4998:1] 31416p2 [0,1,0,78400,1337424] 2 [280:6732:1]
31416q (6 curves)	1	2- 3- 7- 11+ 17-	2- 3- -2 7- 11+ -2 17- -4
Curve Equation t Generators 31416q1 [0,1,0,-239,18930] 4 [-21:123:1] 31416q2 [0,1,0,-12244,513536] 8 [-94:918:1] 31416q3 [0,1,0,-21064,-333184] 4 [-37:630:1] 31416q4 [0,1,0,-195504,33207120] 4 [984:28188:1] 31416q5 [0,1,0,80576,-2528608] 2 [931:29670:1] 31416q6 [0,1,0,-263824,-52186720] 2 [-7935:6110:27]
31416r (4 curves)	1	2- 3- 7- 11- 17+	2- 3- -2 7- 11- -6 17+  4
Curve Equation t Generators 31416r1 [0,1,0,-679,-4774] 2 [-13:45:1] 31416r2 [0,1,0,-4324,104576] 4 [-34:462:1] 31416r3 [0,1,0,1616,375440] 2 [-16:588:1] 31416r4 [0,1,0,-68584,6890432] 2 [152:24:1]
31416s (1 curve)	1	2- 3- 7- 11- 17+	2- 3-  3 7- 11- -5 17+ -5
Curve Equation t Generators 31416s1 [0,1,0,-2464,-47971] 1 [70:357:1]

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