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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 222656.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
222656.g1 | 222656b1 | \([0, 0, 0, -8235724, 9059584912]\) | \(2003092024307193/9529458688\) | \(293897839623408713728\) | \([]\) | \(20528640\) | \(2.7767\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 222656.g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 222656.g do not have complex multiplication.Modular form 222656.2.a.g
sage: E.q_eigenform(10)