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SageMath
E = EllipticCurve("fg1")
E.isogeny_class()
Elliptic curves in class 78400fg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
78400.jo1 | 78400fg1 | \([0, -1, 0, -138833, 47240537]\) | \(-6288640/16807\) | \(-790930697200000000\) | \([]\) | \(921600\) | \(2.1218\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 78400fg1 has rank \(1\).
Complex multiplication
The elliptic curves in class 78400fg do not have complex multiplication.Modular form 78400.2.a.fg
sage: E.q_eigenform(10)