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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 259920g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
259920.g1 | 259920g1 | \([0, 0, 0, -82308, -6776692]\) | \(19456/5\) | \(15847702344817920\) | \([]\) | \(1838592\) | \(1.8178\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 259920g1 has rank \(2\).
Complex multiplication
The elliptic curves in class 259920g do not have complex multiplication.Modular form 259920.2.a.g
sage: E.q_eigenform(10)