Properties

Label 2240u
Number of curves $1$
Conductor $2240$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("u1")
 
E.isogeny_class()
 

Elliptic curves in class 2240u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2240.t1 2240u1 \([0, 1, 0, -371, 4655]\) \(-88478050816/102942875\) \(-6588344000\) \([]\) \(1344\) \(0.57815\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2240u1 has rank \(1\).

Complex multiplication

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

Modular form 2240.2.a.u

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