Properties

Label 2240.s
Number of curves $1$
Conductor $2240$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("s1")
 
E.isogeny_class()
 

Elliptic curves in class 2240.s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2240.s1 2240b1 \([0, 1, 0, 9, 59]\) \(1124864/21875\) \(-1400000\) \([]\) \(320\) \(-0.14028\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2240.s1 has rank \(0\).

Complex multiplication

The elliptic curves in class 2240.s do not have complex multiplication.

Modular form 2240.2.a.s

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} + q^{7} - 2 q^{9} - 3 q^{11} + 7 q^{13} - q^{15} - 5 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display