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	1290g1 1290g2 1290g3 1290g4	Curves in isogeny class
deg	480	Modular degree for the optimal curve
Eigenvalues	2+ 3- 5-  2 -6  2  0  2	Hecke eigenvalues for primes less than 20
L	1.7047443335329	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	10320v 41280d 3870s 6450w	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1290g

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

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Quadratic twists for isogeny class 1290g

-4	8	-3	5	-7	-43
10320v	41280d	3870s	6450w	63210g	55470t

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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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