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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 20808x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
20808.e1 | 20808x1 | \([0, 0, 0, -459, -6426]\) | \(-918\) | \(-11649816576\) | \([]\) | \(8640\) | \(0.62634\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 20808x1 has rank \(0\).
Complex multiplication
The elliptic curves in class 20808x do not have complex multiplication.Modular form 20808.2.a.x
sage: E.q_eigenform(10)