Properties

Label 356928j
Number of curves $1$
Conductor $356928$
CM no
Rank $0$

Related objects

Downloads

Learn more

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

Elliptic curves in class 356928j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
356928.j1 356928j1 \([0, -1, 0, -55156417, 157685886721]\) \(694248748626056/3993\) \(106732348013051904\) \([]\) \(21924864\) \(2.8785\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 356928j1 has rank \(0\).

Complex multiplication

The elliptic curves in class 356928j do not have complex multiplication.

Modular form 356928.2.a.j

sage: E.q_eigenform(10)
 
\(q - q^{3} - 3 q^{5} + 2 q^{7} + q^{9} - q^{11} + 3 q^{15} - q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display