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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 409101.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
409101.q1 | 409101q1 | \([1, 0, 0, 8854838, 17651511065]\) | \(1268071343/2956581\) | \(-179024167589416377694389\) | \([]\) | \(38253600\) | \(3.1458\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 409101.q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 409101.q do not have complex multiplication.Modular form 409101.2.a.q
sage: E.q_eigenform(10)