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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 110946.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
110946.e1 | 110946b1 | \([1, 1, 0, -804393, 389628549]\) | \(-12117869279209/6817561344\) | \(-32384127053412059904\) | \([]\) | \(3225600\) | \(2.4469\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 110946.e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 110946.e do not have complex multiplication.Modular form 110946.2.a.e
sage: E.q_eigenform(10)