Properties

Label 244.a
Number of curves $1$
Conductor $244$
CM no
Rank $1$

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

Elliptic curves in class 244.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
244.a1 244a1 \([0, 0, 0, 1, 6]\) \(432/61\) \(-15616\) \([]\) \(12\) \(-0.51601\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 244.a1 has rank \(1\).

Complex multiplication

The elliptic curves in class 244.a do not have complex multiplication.

Modular form 244.2.a.a

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