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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 136367.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
136367.g1 | 136367g1 | \([1, 0, 0, -29144970, -60563497807]\) | \(4505721246665691247/253\) | \(153734292019\) | \([]\) | \(3870720\) | \(2.5347\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 136367.g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 136367.g do not have complex multiplication.Modular form 136367.2.a.g
sage: E.q_eigenform(10)