Properties

Label 20808x
Number of curves $1$
Conductor $20808$
CM no
Rank $0$

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Show commands: 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)
 
\(q - 3 q^{5} + q^{11} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display