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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 466578.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
466578.q1 | 466578q1 | \([1, -1, 0, 161975469, 873574197173]\) | \(99981/128\) | \(-601677737261082451437422976\) | \([]\) | \(276538752\) | \(3.8244\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 466578.q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 466578.q do not have complex multiplication.Modular form 466578.2.a.q
sage: E.q_eigenform(10)