Cremona's table of elliptic curves

Curve 8103d2

8103 = 3 · 37 · 73



Data for elliptic curve 8103d2

Field Data Notes
Atkin-Lehner 3- 37+ 73+ Signs for the Atkin-Lehner involutions
Class 8103d Isogeny class
Conductor 8103 Conductor
∏ cp 6 Product of Tamagawa factors cp
Δ 5323671 = 33 · 37 · 732 Discriminant
Eigenvalues  1 3-  2 -2  0  4  2 -4 Hecke eigenvalues for primes up to 20
Equation [1,0,1,-5330,-150199] [a1,a2,a3,a4,a6]
j 16741262449423513/5323671 j-invariant
L 3.3525770851909 L(r)(E,1)/r!
Ω 0.55876284753182 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 4 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 129648l2 24309b2 Quadratic twists by: -4 -3


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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