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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 11560n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
11560.l1 | 11560n1 | \([0, -1, 0, 758240, 2525100]\) | \(3374596798/1953125\) | \(-27903029764000000000\) | \([]\) | \(330480\) | \(2.4207\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 11560n1 has rank \(0\).
Complex multiplication
The elliptic curves in class 11560n do not have complex multiplication.Modular form 11560.2.a.n
sage: E.q_eigenform(10)