Properties

Label 1944.f
Number of curves $1$
Conductor $1944$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 1944.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1944.f1 1944h1 \([0, 0, 0, -27, -42]\) \(4374\) \(497664\) \([]\) \(144\) \(-0.19439\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1944.f1 has rank \(1\).

Complex multiplication

The elliptic curves in class 1944.f do not have complex multiplication.

Modular form 1944.2.a.f

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