Properties

Label 118354j
Number of curves $1$
Conductor $118354$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 118354j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
118354.c1 118354j1 \([1, 1, 0, -41844, 6105664]\) \(-192100033/272816\) \(-11507524465803056\) \([]\) \(890880\) \(1.7740\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 118354j1 has rank \(1\).

Complex multiplication

The elliptic curves in class 118354j do not have complex multiplication.

Modular form 118354.2.a.j

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