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SageMath
E = EllipticCurve("fo1")
E.isogeny_class()
Elliptic curves in class 450800.fo
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
450800.fo1 | 450800fo1 | \([0, -1, 0, -408, 101312]\) | \(-196/115\) | \(-4417840000000\) | \([]\) | \(617472\) | \(1.1055\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 450800.fo1 has rank \(1\).
Complex multiplication
The elliptic curves in class 450800.fo do not have complex multiplication.Modular form 450800.2.a.fo
sage: E.q_eigenform(10)