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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 110946e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
110946.b1 | 110946e1 | \([1, 1, 0, 2009601, 1125825861]\) | \(317627036122491047/377295697084416\) | \(-1066147466288956440576\) | \([]\) | \(5544000\) | \(2.7211\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 110946e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 110946e do not have complex multiplication.Modular form 110946.2.a.e
sage: E.q_eigenform(10)