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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 11560.k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
11560.k1 | 11560k1 | \([0, 1, 0, -27840, 24496400]\) | \(-1156/125\) | \(-258047219257472000\) | \([]\) | \(117504\) | \(2.0205\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 11560.k1 has rank \(1\).
Complex multiplication
The elliptic curves in class 11560.k do not have complex multiplication.Modular form 11560.2.a.k
sage: E.q_eigenform(10)