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SageMath
E = EllipticCurve("fq1")
E.isogeny_class()
Elliptic curves in class 303450.fq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
303450.fq1 | 303450fq1 | \([1, 0, 0, -2233, 40457]\) | \(-34087423877/27216\) | \(-983178000\) | \([]\) | \(322560\) | \(0.65569\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 303450.fq1 has rank \(2\).
Complex multiplication
The elliptic curves in class 303450.fq do not have complex multiplication.Modular form 303450.2.a.fq
sage: E.q_eigenform(10)