Properties

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

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 20808.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
20808.l1 20808u1 \([0, 0, 0, 31212, -530604]\) \(27648/17\) \(-2067634201768704\) \([]\) \(55296\) \(1.6279\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 20808.l1 has rank \(0\).

Complex multiplication

The elliptic curves in class 20808.l do not have complex multiplication.

Modular form 20808.2.a.l

sage: E.q_eigenform(10)
 
\(q - q^{5} + 2 q^{7} + 3 q^{11} - q^{13} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display