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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 190575g
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 190575.b1 | 190575g1 | \([0, 0, 1, -5445, -134764]\) | \(552960/77\) | \(2486075840325\) | \([]\) | \(460800\) | \(1.1049\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 190575g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 190575g do not have complex multiplication.Modular form 190575.2.a.g
sage: E.q_eigenform(10)