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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 88445.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
88445.d1 | 88445bv1 | \([0, -1, 1, -288920, -607254362]\) | \(-200704/11875\) | \(-157810401280055006875\) | \([]\) | \(4596480\) | \(2.5555\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 88445.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 88445.d do not have complex multiplication.Modular form 88445.2.a.d
sage: E.q_eigenform(10)