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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 11560.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
11560.j1 | 11560d1 | \([0, 1, 0, -96, -98656]\) | \(-2/85\) | \(-4201868011520\) | \([]\) | \(13824\) | \(1.1011\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 11560.j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 11560.j do not have complex multiplication.Modular form 11560.2.a.j
sage: E.q_eigenform(10)