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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 11109.k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
11109.k1 | 11109f1 | \([0, 1, 1, 882, -7705]\) | \(512000/483\) | \(-71501334387\) | \([]\) | \(10560\) | \(0.76992\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 11109.k1 has rank \(1\).
Complex multiplication
The elliptic curves in class 11109.k do not have complex multiplication.Modular form 11109.2.a.k
sage: E.q_eigenform(10)