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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 11560i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
11560.n1 | 11560i1 | \([0, 0, 0, -54043, -4844218]\) | \(-2443716/5\) | \(-35715878097920\) | \([]\) | \(78336\) | \(1.4870\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 11560i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 11560i do not have complex multiplication.Modular form 11560.2.a.i
sage: E.q_eigenform(10)