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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 20808q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
20808.n1 | 20808q1 | \([0, 0, 0, -73695, -11859982]\) | \(-34000/27\) | \(-35149781430067968\) | \([]\) | \(117504\) | \(1.8733\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 20808q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 20808q do not have complex multiplication.Modular form 20808.2.a.q
sage: E.q_eigenform(10)