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SageMath
E = EllipticCurve("fo1")
E.isogeny_class()
Elliptic curves in class 129360.fo
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
129360.fo1 | 129360gs1 | \([0, 1, 0, 427019, 56178275]\) | \(17869652393984/13156171875\) | \(-6339831664320000000\) | \([]\) | \(2709504\) | \(2.2961\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 129360.fo1 has rank \(1\).
Complex multiplication
The elliptic curves in class 129360.fo do not have complex multiplication.Modular form 129360.2.a.fo
sage: E.q_eigenform(10)