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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 109554f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
109554.f1 | 109554f1 | \([1, 1, 0, -1404521, 12722255877]\) | \(-373845337/85100544\) | \(-69750813099854282655744\) | \([]\) | \(17186400\) | \(3.0625\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 109554f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 109554f do not have complex multiplication.Modular form 109554.2.a.f
sage: E.q_eigenform(10)