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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 10626.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
10626.q1 | 10626o1 | \([1, 0, 0, -116, 4752]\) | \(-172715635009/9694992384\) | \(-9694992384\) | \([]\) | \(7040\) | \(0.59612\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 10626.q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 10626.q do not have complex multiplication.Modular form 10626.2.a.q
sage: E.q_eigenform(10)