Cremona's table of elliptic curves

630 = 2 · 3² · 5 · 7

Field	Data	Notes
Atkin-Lehner	2+ 3- 5- 7+	Signs for the Atkin-Lehner involutions
Conductor	630	Conductor
Count	4	Number of curves in isogeny class
Curves	630e1 630e2 630e3 630e4	Curves in isogeny class
deg	128	Modular degree for the optimal curve
Eigenvalues	2+ 3- 5- 7+ -4 -6 -2  0	Hecke eigenvalues for primes less than 20
L	1.6379676457361	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	5040bn 20160be 70a 3150bm	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 630e

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	-6	-2	0	0	-6	8	-10	-2	4	-8	2	8	-14	-12	16	2	-8	-8	-10	2

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Quadratic twists for isogeny class 630e

-4	8	-3	5	-7	-11	13
5040bn	20160be	70a	3150bm	4410m	76230fe	106470ew

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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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