Properties

Label 2400.h
Number of curves $1$
Conductor $2400$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 2400.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2400.h1 2400x1 \([0, -1, 0, 67, -363]\) \(12800/27\) \(-69120000\) \([]\) \(576\) \(0.18858\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2400.h1 has rank \(1\).

Complex multiplication

The elliptic curves in class 2400.h do not have complex multiplication.

Modular form 2400.2.a.h

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{7} + q^{9} + 4 q^{11} - 3 q^{13} - 4 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display