Cremona's table of elliptic curves

Curve 9805a1

9805 = 5 · 37 · 53



Data for elliptic curve 9805a1

Field Data Notes
Atkin-Lehner 5+ 37+ 53- Signs for the Atkin-Lehner involutions
Class 9805a Isogeny class
Conductor 9805 Conductor
∏ cp 3 Product of Tamagawa factors cp
deg 25200 Modular degree for the optimal curve
Δ 430347578125 = 57 · 37 · 533 Discriminant
Eigenvalues  1  1 5+ -2 -3  1  2 -1 Hecke eigenvalues for primes up to 20
Equation [1,0,1,-115014,-15022689] [a1,a2,a3,a4,a6]
j 168255940844161919449/430347578125 j-invariant
L 0.77773859543164 L(r)(E,1)/r!
Ω 0.25924619847721 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 88245e1 49025d1 Quadratic twists by: -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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