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SageMath
E = EllipticCurve("gl1")
E.isogeny_class()
Elliptic curves in class 463680.gl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
463680.gl1 | 463680gl1 | \([0, 0, 0, -33708, 2387432]\) | \(-5674076449024/14904575\) | \(-11126205619200\) | \([]\) | \(1290240\) | \(1.3787\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 463680.gl1 has rank \(1\).
Complex multiplication
The elliptic curves in class 463680.gl do not have complex multiplication.Modular form 463680.2.a.gl
sage: E.q_eigenform(10)