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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 463680g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
463680.g1 | 463680g1 | \([0, 0, 0, 828132, -518544542]\) | \(1346216501445963776/3268768272021875\) | \(-152507652499452600000\) | \([]\) | \(13728000\) | \(2.5567\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 463680g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 463680g do not have complex multiplication.Modular form 463680.2.a.g
sage: E.q_eigenform(10)