Properties

Label 1856.j
Number of curves $1$
Conductor $1856$
CM no
Rank $1$

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

Elliptic curves in class 1856.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1856.j1 1856i1 \([0, 1, 0, -321, 2111]\) \(-55990084/29\) \(-1900544\) \([]\) \(256\) \(0.15584\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1856.j1 has rank \(1\).

Complex multiplication

The elliptic curves in class 1856.j do not have complex multiplication.

Modular form 1856.2.a.j

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