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SageMath
E = EllipticCurve("ep1")
E.isogeny_class()
Elliptic curves in class 92400.ep
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
92400.ep1 | 92400fx1 | \([0, 1, 0, -3333, -39537]\) | \(1638400/693\) | \(1732500000000\) | \([]\) | \(149760\) | \(1.0452\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 92400.ep1 has rank \(1\).
Complex multiplication
The elliptic curves in class 92400.ep do not have complex multiplication.Modular form 92400.2.a.ep
sage: E.q_eigenform(10)