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SageMath
E = EllipticCurve("fg1")
E.isogeny_class()
Elliptic curves in class 193600fg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
193600.ja1 | 193600fg1 | \([0, 0, 0, 7700, 242000]\) | \(9261/10\) | \(-54517760000000\) | \([]\) | \(1105920\) | \(1.3224\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 193600fg1 has rank \(0\).
Complex multiplication
The elliptic curves in class 193600fg do not have complex multiplication.Modular form 193600.2.a.fg
sage: E.q_eigenform(10)