Properties

Label 1914.j
Number of curves $1$
Conductor $1914$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 1914.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1914.j1 1914h1 \([1, 1, 1, -281, 1697]\) \(-2454365649169/1609674\) \(-1609674\) \([]\) \(720\) \(0.13056\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1914.j1 has rank \(0\).

Complex multiplication

The elliptic curves in class 1914.j do not have complex multiplication.

Modular form 1914.2.a.j

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} - q^{5} - q^{6} + 5 q^{7} + q^{8} + q^{9} - q^{10} - q^{11} - q^{12} - 3 q^{13} + 5 q^{14} + q^{15} + q^{16} + 2 q^{17} + q^{18} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display