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SageMath
E = EllipticCurve("dk1")
E.isogeny_class()
Elliptic curves in class 132496dk
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
132496.bf1 | 132496dk1 | \([0, -1, 0, -135256, 17823779]\) | \(12544\) | \(21815265186407056\) | \([]\) | \(645120\) | \(1.8786\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 132496dk1 has rank \(0\).
Complex multiplication
The elliptic curves in class 132496dk do not have complex multiplication.Modular form 132496.2.a.dk
sage: E.q_eigenform(10)