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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 388815.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
388815.g1 | 388815g1 | \([0, -1, 1, -2600740, 1835680818]\) | \(-111701610496/18862875\) | \(-328521005180191222875\) | \([]\) | \(23721984\) | \(2.6635\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 388815.g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 388815.g do not have complex multiplication.Modular form 388815.2.a.g
sage: E.q_eigenform(10)