Cremona's table of elliptic curves

14415 = 3 · 5 · 31²

Class	r	Atkin-Lehner	Eigenvalues
14415a (2 curves)	2	3+ 5+ 31-	0 3+ 5+ -4 -3  4  0 -4
Curve Equation t Generators 14415a1 [0,-1,1,-41,62] 1 [-2:11:1]&[8:13:1] 14415a2 [0,-1,1,-2831,58931] 1 [29:19:1]&[31:0:1]
14415b (2 curves)	0	3+ 5+ 31-	-1 3+ 5+  0  0 -4 -4  4
Curve Equation t 14415b1 [1,1,1,-197986,65095214] 2 14415b2 [1,1,1,-3921861,2986102764] 2
14415c (4 curves)	1	3+ 5- 31-	-1 3+ 5- -4  4 -2  6 -4
Curve Equation t Generators 14415c1 [1,1,1,-9630,358410] 4 [390660:1381830:4913] 14415c2 [1,1,1,-14435,-43288] 4 [242:3151:1] 14415c3 [1,1,1,-163390,-25425220] 2 [-232:363:1] 14415c4 [1,1,1,57640,-273928] 2 [62825:1360444:343]
14415d (2 curves)	0	3- 5+ 31+	0 3- 5+ -4  3 -4  0 -4
Curve Equation t 14415d1 [0,1,1,-39721,-1458380] 3 14415d2 [0,1,1,-2720911,-1728412859] 1
14415e (2 curves)	1	3- 5+ 31-	-1 3- 5+  0  0  4  4  4
Curve Equation t Generators 14415e1 [1,0,0,-206,-2205] 2 [43:241:1] 14415e2 [1,0,0,-4081,-100630] 2 [-37:26:1]
14415f (2 curves)	0	3- 5- 31-	1 3- 5- -2  4  0 -2 -8
Curve Equation t 14415f1 [1,0,1,-7228,-568459] 2 14415f2 [1,0,1,-156183,-23745857] 2
14415g (8 curves)	0	3- 5- 31-	-1 3- 5-  0  4  2 -2  4
Curve Equation t 14415g1 [1,0,0,-20,-5553] 2 14415g2 [1,0,0,-4825,-127600] 4 14415g3 [1,0,0,-76900,-8214415] 2 14415g4 [1,0,0,-9630,167427] 4 14415g5 [1,0,0,-129755,17969952] 4 14415g6 [1,0,0,33615,1265850] 2 14415g7 [1,0,0,-2075780,1150945707] 2 14415g8 [1,0,0,-105730,24836297] 2

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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