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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 4650.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4650.g1 | 4650i1 | \([1, 1, 0, -15825, -772875]\) | \(-1122115892665/8928\) | \(-3487500000\) | \([]\) | \(7200\) | \(1.0033\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4650.g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 4650.g do not have complex multiplication.Modular form 4650.2.a.g
sage: E.q_eigenform(10)