Properties

Label 20800cv
Number of curves $1$
Conductor $20800$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("cv1")
 
E.isogeny_class()
 

Elliptic curves in class 20800cv

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
20800.bw1 20800cv1 \([0, 0, 0, 2500, 50000]\) \(10800/13\) \(-2080000000000\) \([]\) \(23040\) \(1.0498\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 20800cv1 has rank \(1\).

Complex multiplication

The elliptic curves in class 20800cv do not have complex multiplication.

Modular form 20800.2.a.cv

sage: E.q_eigenform(10)
 
\(q - 3 q^{7} - 3 q^{9} + 3 q^{11} + q^{13} + q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display