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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 182329.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
182329.g1 | 182329g1 | \([1, 1, 0, -368456, -91073863]\) | \(-912673/61\) | \(-369740551915034629\) | \([]\) | \(2812320\) | \(2.1229\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 182329.g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 182329.g do not have complex multiplication.Modular form 182329.2.a.g
sage: E.q_eigenform(10)