Properties

Label 1444.a
Number of curves $1$
Conductor $1444$
CM no
Rank $1$

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

Elliptic curves in class 1444.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1444.a1 1444c1 \([0, 1, 0, -7701, 258583]\) \(-4194304/19\) \(-228831165184\) \([]\) \(2160\) \(1.0313\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1444.a1 has rank \(1\).

Complex multiplication

The elliptic curves in class 1444.a do not have complex multiplication.

Modular form 1444.2.a.a

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