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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 762.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
762.e1 | 762e1 | \([1, 0, 0, -267, 1521]\) | \(2105518942513/189609984\) | \(189609984\) | \([]\) | \(528\) | \(0.32797\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 762.e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 762.e do not have complex multiplication.Modular form 762.2.a.e
sage: E.q_eigenform(10)