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	2	Number of curves in isogeny class
Curves	1290m1 1290m2	Curves in isogeny class
deg	640	Modular degree for the optimal curve
Eigenvalues	2- 3- 5+ -4 -2 -6 -4 -2	Hecke eigenvalues for primes less than 20
L	3.7499561891523	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	10320r 41280x 3870h 6450e	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1290m

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
-	-	+	-4	-2	-6	-4	-2	-4	-2	8	4	6	+	-4	0	2	-2	-4	4	-16	0	16	-14	-10

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Quadratic twists for isogeny class 1290m

-4	8	-3	5	-7	-43
10320r	41280x	3870h	6450e	63210br	55470e

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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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