Properties

Label 233289.v
Number of curves $1$
Conductor $233289$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("v1")
 
E.isogeny_class()
 

Elliptic curves in class 233289.v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
233289.v1 233289v1 \([0, 0, 1, 1555260, 7459888833]\) \(1605632000/93710763\) \(-24281537262713336868003\) \([]\) \(8921088\) \(2.9750\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 233289.v1 has rank \(1\).

Complex multiplication

The elliptic curves in class 233289.v do not have complex multiplication.

Modular form 233289.2.a.v

sage: E.q_eigenform(10)
 
\(q - 2 q^{4} - 2 q^{11} - 3 q^{13} + 4 q^{16} + 2 q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display