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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 55473.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
55473.d1 | 55473c1 | \([0, -1, 1, -32025291, 70089731048]\) | \(-270622818304/1449459\) | \(-19455594341034189001059\) | \([]\) | \(5785920\) | \(3.1214\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 55473.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 55473.d do not have complex multiplication.Modular form 55473.2.a.d
sage: E.q_eigenform(10)