Properties

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

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 2240.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2240.a1 2240s1 \([0, 0, 0, -1648, -26528]\) \(-30211716096/1071875\) \(-17561600000\) \([]\) \(3840\) \(0.73804\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2240.a1 has rank \(0\).

Complex multiplication

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

Modular form 2240.2.a.a

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