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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 118581.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
118581.e1 | 118581a1 | \([0, -1, 1, -10372, 157695]\) | \(207474688/102789\) | \(61141294342269\) | \([]\) | \(704816\) | \(1.3384\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 118581.e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 118581.e do not have complex multiplication.Modular form 118581.2.a.e
sage: E.q_eigenform(10)