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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 3900.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3900.g1 | 3900g1 | \([0, -1, 0, -60613, -5821103]\) | \(-769623354048512/15247889631\) | \(-487932468192000\) | \([]\) | \(16800\) | \(1.6113\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3900.g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 3900.g do not have complex multiplication.Modular form 3900.2.a.g
sage: E.q_eigenform(10)