Properties

Label 20808q
Number of curves $1$
Conductor $20808$
CM no
Rank $1$

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Show commands: 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)
 
\(q - 3 q^{7} - 2 q^{11} - 3 q^{13} + q^{19} + O(q^{20})\) Copy content Toggle raw display