Show commands:
SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 338130.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
338130.g1 | 338130g1 | \([1, -1, 0, -698865345, 7111300882621]\) | \(-7423100311456129681/239616000\) | \(-1218525756242356224000\) | \([]\) | \(82252800\) | \(3.5478\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 338130.g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 338130.g do not have complex multiplication.Modular form 338130.2.a.g
sage: E.q_eigenform(10)