Properties

Label 2244.a
Number of curves $1$
Conductor $2244$
CM no
Rank $0$

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

Elliptic curves in class 2244.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2244.a1 2244a1 \([0, -1, 0, -2277, -1706463]\) \(-5102271397888/4915446963867\) \(-1258354422749952\) \([]\) \(16128\) \(1.5764\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2244.a1 has rank \(0\).

Complex multiplication

The elliptic curves in class 2244.a do not have complex multiplication.

Modular form 2244.2.a.a

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