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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 16650q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
16650.s1 | 16650q1 | \([1, -1, 0, -27942, -1920844]\) | \(-132384574175625/11484004352\) | \(-209295979315200\) | \([]\) | \(61824\) | \(1.4922\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 16650q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 16650q do not have complex multiplication.Modular form 16650.2.a.q
sage: E.q_eigenform(10)