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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 455175.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
455175.g1 | 455175g1 | \([0, 0, 1, -650011575, -6392852560094]\) | \(-110470393399988224/284716796875\) | \(-78280604681114959716796875\) | \([]\) | \(284663808\) | \(3.8447\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 455175.g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 455175.g do not have complex multiplication.Modular form 455175.2.a.g
sage: E.q_eigenform(10)