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SageMath
E = EllipticCurve("fq1")
E.isogeny_class()
Elliptic curves in class 88200fq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
88200.cq1 | 88200fq1 | \([0, 0, 0, -3675, 575750]\) | \(-196/5\) | \(-140026320000000\) | \([]\) | \(207360\) | \(1.3950\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 88200fq1 has rank \(1\).
Complex multiplication
The elliptic curves in class 88200fq do not have complex multiplication.Modular form 88200.2.a.fq
sage: E.q_eigenform(10)