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SageMath
E = EllipticCurve("fo1")
E.isogeny_class()
Elliptic curves in class 25200.fo
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
25200.fo1 | 25200s1 | \([0, 0, 0, -8475, 395050]\) | \(-1947910950/823543\) | \(-28461646080000\) | \([]\) | \(59136\) | \(1.2894\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 25200.fo1 has rank \(1\).
Complex multiplication
The elliptic curves in class 25200.fo do not have complex multiplication.Modular form 25200.2.a.fo
sage: E.q_eigenform(10)