Properties

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

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 20808a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
20808.y1 20808a1 \([0, 0, 0, 3468, 19652]\) \(27648/17\) \(-2836260907776\) \([]\) \(18432\) \(1.0786\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 20808a1 has rank \(1\).

Complex multiplication

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

Modular form 20808.2.a.a

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