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	2	Number of curves in isogeny class
Curves	630b1 630b2	Curves in isogeny class
deg	1120	Modular degree for the optimal curve
Eigenvalues	2+ 3+ 5- 7+ -4  6  4  6	Hecke eigenvalues for primes less than 20
L	1.1585165872402	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	5040bb 20160e 630g 3150y	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 630b

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

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Quadratic twists for isogeny class 630b

-4	8	-3	5	-7	-11	13
5040bb	20160e	630g	3150y	4410b	76230de	106470dk

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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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