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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 38720.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
38720.e1 | 38720cz1 | \([0, 0, 0, 308, 1936]\) | \(9261/10\) | \(-3489136640\) | \([]\) | \(46080\) | \(0.51769\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 38720.e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 38720.e do not have complex multiplication.Modular form 38720.2.a.e
sage: E.q_eigenform(10)