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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 11560l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
11560.a1 | 11560l1 | \([0, 0, 0, -187, -986]\) | \(-2443716/5\) | \(-1479680\) | \([]\) | \(4608\) | \(0.070413\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 11560l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 11560l do not have complex multiplication.Modular form 11560.2.a.l
sage: E.q_eigenform(10)