Properties

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

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 2240l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2240.w1 2240l1 \([0, 1, 0, -15, 23]\) \(-6229504/1715\) \(-109760\) \([]\) \(192\) \(-0.31697\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2240l1 has rank \(1\).

Complex multiplication

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

Modular form 2240.2.a.l

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