Cremona's table of elliptic curves

Curve 210b2

210 = 2 · 3 · 5 · 7



Data for elliptic curve 210b2

Field Data Notes
Atkin-Lehner 2+ 3- 5- 7- Signs for the Atkin-Lehner involutions
Class 210b Isogeny class
Conductor 210 Conductor
∏ cp 144 Product of Tamagawa factors cp
Δ 8930250000 = 24 · 36 · 56 · 72 Discriminant
Eigenvalues 2+ 3- 5- 7-  0  2 -6  8 Hecke eigenvalues for primes up to 20
Equation [1,0,1,-578,2756] [a1,a2,a3,a4,a6]
j 21302308926361/8930250000 j-invariant
L 1.1766630746428 L(r)(E,1)/r!
Ω 1.1766630746428 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 12 Number of elements in the torsion subgroup
Twists 1680m2 6720f2 630i2 1050k2 Quadratic twists by: -4 8 -3 5


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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