Properties

Label 1944.i
Number of curves $1$
Conductor $1944$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 1944.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1944.i1 1944e1 \([0, 0, 0, 81, 162]\) \(1296\) \(-45349632\) \([]\) \(432\) \(0.15722\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1944.i1 has rank \(0\).

Complex multiplication

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

Modular form 1944.2.a.i

sage: E.q_eigenform(10)
 
\(q + 2 q^{5} + 3 q^{7} + 2 q^{11} + q^{13} + 4 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display