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SageMath
E = EllipticCurve("du1")
E.isogeny_class()
Elliptic curves in class 132496du
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
132496.cu1 | 132496du1 | \([0, 1, 0, -135256, -20084492]\) | \(-235298/13\) | \(-15118950966339584\) | \([]\) | \(628992\) | \(1.8624\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 132496du1 has rank \(0\).
Complex multiplication
The elliptic curves in class 132496du do not have complex multiplication.Modular form 132496.2.a.du
sage: E.q_eigenform(10)