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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 349830.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
349830.g1 | 349830g1 | \([1, -1, 0, 319125, 2292453125]\) | \(37831540293/23920000000\) | \(-2272545470604240000000\) | \([]\) | \(24837120\) | \(2.7770\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 349830.g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 349830.g do not have complex multiplication.Modular form 349830.2.a.g
sage: E.q_eigenform(10)