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SageMath
E = EllipticCurve("fq1")
E.isogeny_class()
Elliptic curves in class 364650.fq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
364650.fq1 | 364650fq1 | \([1, 0, 0, -175188, 29848992]\) | \(-38055453778613881/2634596250000\) | \(-41165566406250000\) | \([]\) | \(5354496\) | \(1.9389\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 364650.fq1 has rank \(0\).
Complex multiplication
The elliptic curves in class 364650.fq do not have complex multiplication.Modular form 364650.2.a.fq
sage: E.q_eigenform(10)