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SageMath
E = EllipticCurve("gr1")
E.isogeny_class()
Elliptic curves in class 92400gr
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
92400.gh1 | 92400gr1 | \([0, 1, 0, 217867, -20348637]\) | \(17869652393984/13156171875\) | \(-841995000000000000\) | \([]\) | \(1354752\) | \(2.1278\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 92400gr1 has rank \(0\).
Complex multiplication
The elliptic curves in class 92400gr do not have complex multiplication.Modular form 92400.2.a.gr
sage: E.q_eigenform(10)