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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 104742q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
104742.f1 | 104742q1 | \([1, -1, 0, -17556, -539704]\) | \(5545233/2024\) | \(218426362075944\) | \([]\) | \(405504\) | \(1.4518\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 104742q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 104742q do not have complex multiplication.Modular form 104742.2.a.q
sage: E.q_eigenform(10)