Properties

Label 7840.g
Number of curves $1$
Conductor $7840$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 7840.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7840.g1 7840b1 \([0, -1, 0, -3201, 109201]\) \(-153664/125\) \(-2951578112000\) \([]\) \(8064\) \(1.0909\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7840.g1 has rank \(1\).

Complex multiplication

The elliptic curves in class 7840.g do not have complex multiplication.

Modular form 7840.2.a.g

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - 2 q^{9} - 2 q^{11} + 2 q^{13} + q^{15} - 2 q^{17} + O(q^{20})\) Copy content Toggle raw display