Cremona's table of elliptic curves

700 = 2² · 5² · 7

Field	Data	Notes
Atkin-Lehner	2- 5- 7-	Signs for the Atkin-Lehner involutions
Class	700i	Isogeny class
Conductor	700	Conductor
∏ cp	3	Product of Tamagawa factors cp
Δ	-2143750000 = -1 · 24 · 58 · 73	Discriminant
Eigenvalues	2- -2 5- 7-  3 -4  0  2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-2458,-47787]	[a1,a2,a3,a4,a6]
j	-262885120/343	j-invariant
L	1.0169430918784	L(r)(E,1)/r!
Ω	0.33898103062613	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	2800ba2 11200br2 6300bd2 700b2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 700i2

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	-	-	3	-4	0	2	-3	9	8	5	-6	11	6	6	0	-10	5	15	-10	-7	12	-12	8

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Quadratic twists for elliptic curve 700i2

-4	8	-3	5	-7	-11	13
2800ba2	11200br2	6300bd2	700b2	4900t2	84700bb2	118300bh2

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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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