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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 20286g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
20286.h1 | 20286g1 | \([1, -1, 0, 244452, -107116976]\) | \(211816278261/771751936\) | \(-5886022147771465728\) | \([]\) | \(336000\) | \(2.2845\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 20286g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 20286g do not have complex multiplication.Modular form 20286.2.a.g
sage: E.q_eigenform(10)