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SageMath
E = EllipticCurve("fq1")
E.isogeny_class()
Elliptic curves in class 487872fq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
487872.fq1 | 487872fq1 | \([0, 0, 0, -13068, -2587464]\) | \(-6912/77\) | \(-2749400993332224\) | \([]\) | \(1474560\) | \(1.6445\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 487872fq1 has rank \(0\).
Complex multiplication
The elliptic curves in class 487872fq do not have complex multiplication.Modular form 487872.2.a.fq
sage: E.q_eigenform(10)