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SageMath
E = EllipticCurve("dl1")
E.isogeny_class()
Elliptic curves in class 259182.dl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
259182.dl1 | 259182dl1 | \([1, -1, 1, 1066, -44481]\) | \(103823/714\) | \(-922108129866\) | \([]\) | \(457600\) | \(0.97750\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 259182.dl1 has rank \(1\).
Complex multiplication
The elliptic curves in class 259182.dl do not have complex multiplication.Modular form 259182.2.a.dl
sage: E.q_eigenform(10)