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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 8050.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
8050.q1 | 8050r1 | \([1, -1, 1, 6695, 4249947]\) | \(84972077055/20040095362\) | \(-7828162250781250\) | \([]\) | \(40320\) | \(1.7289\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 8050.q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 8050.q do not have complex multiplication.Modular form 8050.2.a.q
sage: E.q_eigenform(10)