Cremona's table of elliptic curves

1290 = 2 · 3 · 5 · 43

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 43-	Signs for the Atkin-Lehner involutions
Conductor	1290	Conductor
Count	4	Number of curves in isogeny class
Curves	1290e1 1290e2 1290e3 1290e4	Curves in isogeny class
deg	1920	Modular degree for the optimal curve
Eigenvalues	2+ 3- 5+  0  4 -6 -6 -8	Hecke eigenvalues for primes less than 20
L	2.2374668773427	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	10320o 41280o 3870z 6450t	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1290e

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
+	-	+	0	4	-6	-6	-8	-4	10	0	-6	-6	-	12	-6	-4	-6	4	8	-10	-8	-12	2	10

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Quadratic twists for isogeny class 1290e

-4	8	-3	5	-7	-43
10320o	41280o	3870z	6450t	63210p	55470z

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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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