Properties

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

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("v1")
 
E.isogeny_class()
 

Elliptic curves in class 2240.v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2240.v1 2240g1 \([0, 1, 0, -5, 35]\) \(-1024/35\) \(-573440\) \([]\) \(256\) \(-0.21476\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2240.v1 has rank \(0\).

Complex multiplication

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

Modular form 2240.2.a.v

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{5} - q^{7} - 2 q^{9} + 5 q^{11} - q^{13} + q^{15} + 3 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display