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SageMath
E = EllipticCurve("fo1")
E.isogeny_class()
Elliptic curves in class 33600fo
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
33600.q1 | 33600fo1 | \([0, -1, 0, -2833, -61463]\) | \(-6288640/567\) | \(-226800000000\) | \([]\) | \(30720\) | \(0.92214\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 33600fo1 has rank \(1\).
Complex multiplication
The elliptic curves in class 33600fo do not have complex multiplication.Modular form 33600.2.a.fo
sage: E.q_eigenform(10)