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SageMath
E = EllipticCurve("fq1")
E.isogeny_class()
Elliptic curves in class 426888.fq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
426888.fq1 | 426888fq1 | \([0, 0, 0, -187572, 21566468]\) | \(274717696/83349\) | \(221432568506037504\) | \([]\) | \(4423680\) | \(2.0333\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 426888.fq1 has rank \(0\).
Complex multiplication
The elliptic curves in class 426888.fq do not have complex multiplication.Modular form 426888.2.a.fq
sage: E.q_eigenform(10)