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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 1110.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1110.f1 | 1110e1 | \([1, 0, 1, -184, 60806]\) | \(-683565019129/1597684769280\) | \(-1597684769280\) | \([]\) | \(2160\) | \(1.0206\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1110.f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 1110.f do not have complex multiplication.Modular form 1110.2.a.f
sage: E.q_eigenform(10)