Properties

Label 259920.v
Number of curves $1$
Conductor $259920$
CM no
Rank $0$

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

Elliptic curves in class 259920.v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
259920.v1 259920v1 \([0, 0, 0, 5002377, -2688223322]\) \(569208099614384/457763671875\) \(-11133282304687500000000\) \([]\) \(15482880\) \(2.9182\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 259920.v1 has rank \(0\).

Complex multiplication

The elliptic curves in class 259920.v do not have complex multiplication.

Modular form 259920.2.a.v

sage: E.q_eigenform(10)
 
\(q - q^{5} - 3 q^{7} + 4 q^{11} + 5 q^{13} + O(q^{20})\) Copy content Toggle raw display