Properties

Label 6240.h
Number of curves $1$
Conductor $6240$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("h1")
 
E.isogeny_class()
 

Elliptic curves in class 6240.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6240.h1 6240e1 \([0, -1, 0, 19, -219]\) \(175616/4875\) \(-19968000\) \([]\) \(1920\) \(0.080898\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6240.h1 has rank \(0\).

Complex multiplication

The elliptic curves in class 6240.h do not have complex multiplication.

Modular form 6240.2.a.h

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + 5 q^{7} + q^{9} + q^{11} + q^{13} + q^{15} + 3 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display