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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 13050.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
13050.q1 | 13050m1 | \([1, -1, 0, -267, -2359]\) | \(-185193/116\) | \(-1321312500\) | \([]\) | \(6048\) | \(0.45180\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 13050.q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 13050.q do not have complex multiplication.Modular form 13050.2.a.q
sage: E.q_eigenform(10)