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SageMath
E = EllipticCurve("dl1")
E.isogeny_class()
Elliptic curves in class 49686.dl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
49686.dl1 | 49686dj1 | \([1, 0, 0, -35526, -1808262]\) | \(249395415529/73513818\) | \(1461651792386058\) | \([]\) | \(483840\) | \(1.6156\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 49686.dl1 has rank \(0\).
Complex multiplication
The elliptic curves in class 49686.dl do not have complex multiplication.Modular form 49686.2.a.dl
sage: E.q_eigenform(10)