Properties

Label 954j
Number of curves $1$
Conductor $954$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 954j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
954.g1 954j1 \([1, -1, 1, 1273, -3585]\) \(313185171671/187564032\) \(-136734179328\) \([]\) \(1632\) \(0.82607\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 954j1 has rank \(1\).

Complex multiplication

The elliptic curves in class 954j do not have complex multiplication.

Modular form 954.2.a.j

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