Properties

Label 249696v
Number of curves $1$
Conductor $249696$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 249696v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
249696.v1 249696v1 \([0, 0, 0, 62424, -2122416]\) \(1536\) \(-17514077944393728\) \([]\) \(1327104\) \(1.8057\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 249696v1 has rank \(1\).

Complex multiplication

The elliptic curves in class 249696v do not have complex multiplication.

Modular form 249696.2.a.v

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