Cremona's table of elliptic curves

7514 = 2 · 13 · 17²

Class	r	Atkin-Lehner	Eigenvalues
7514a (2 curves)	1	2+ 13+ 17+	2+ -2 -2 -2 -2 13+ 17+ -4
Curve Equation t Generators 7514a1 [1,0,1,-15757,-735096] 2 [-78:183:1] 7514a2 [1,0,1,7363,-2704920] 2 [194:2359:1]
7514b (3 curves)	0	2+ 13- 17+	2+ -1  3  1 -6 13- 17+  2
Curve Equation t 7514b1 [1,1,0,139,1087] 1 7514b2 [1,1,0,-1306,-36772] 1 7514b3 [1,1,0,-132801,-18682763] 1
7514c (2 curves)	0	2+ 13- 17+	2+  2  4  2  2 13- 17+  4
Curve Equation t 7514c1 [1,1,0,-23848,1115760] 2 7514c2 [1,1,0,-122108,-15490180] 2
7514d (2 curves)	2	2+ 13- 17+	2+ -2 -4 -2 -2 13- 17+  4
Curve Equation t Generators 7514d1 [1,0,1,-83,222] 2 [-9:20:1]&[-2:20:1] 7514d2 [1,0,1,-423,-3178] 2 [-14:13:1]&[-11:18:1]
7514e (2 curves)	0	2- 13+ 17+	2-  0 -2 -4  2 13+ 17+  0
Curve Equation t 7514e1 [1,-1,1,-27076,1666595] 2 7514e2 [1,-1,1,10494,5904491] 2
7514f (2 curves)	0	2- 13+ 17+	2-  0  4  2  2 13+ 17+  0
Curve Equation t 7514f1 [1,-1,1,-49618,-2481711] 2 7514f2 [1,-1,1,-350178,78068369] 2
7514g (2 curves)	0	2- 13+ 17+	2- -2  2 -2 -4 13+ 17+ -4
Curve Equation t 7514g1 [1,0,0,-2607,-44747] 2 7514g2 [1,0,0,-40177,-3102945] 2
7514h (2 curves)	0	2- 13+ 17+	2- -2 -4  4  2 13+ 17+ -4
Curve Equation t 7514h1 [1,0,0,-41890845,37239689521] 2 7514h2 [1,0,0,-542022685,4853009176881] 2
7514i (2 curves)	0	2- 13+ 17+	2-  3  1 -1  2 13+ 17+  6
Curve Equation t 7514i1 [1,-1,1,-777,12937] 1 7514i2 [1,-1,1,-61467,-6420203] 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
Back to Tables and computations