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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 212415g
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 212415.d1 | 212415g1 | \([0, -1, 1, -13050, -568114]\) | \(7229403136/19845\) | \(674741133045\) | \([]\) | \(608256\) | \(1.1430\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 212415g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 212415g do not have complex multiplication.Modular form 212415.2.a.g
sage: E.q_eigenform(10)