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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 86640.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
86640.l1 | 86640bk1 | \([0, -1, 0, -29564576, -62271777024]\) | \(-41081844659329/314572800\) | \(-21883154349194792140800\) | \([]\) | \(7223040\) | \(3.1164\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 86640.l1 has rank \(0\).
Complex multiplication
The elliptic curves in class 86640.l do not have complex multiplication.Modular form 86640.2.a.l
sage: E.q_eigenform(10)