Properties

Label 42483j
Number of curves $1$
Conductor $42483$
CM no
Rank $0$

Related objects

Downloads

Learn more

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

Elliptic curves in class 42483j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
42483.m1 42483j1 \([0, -1, 1, -18881, 1096934]\) \(-629407744/70227\) \(-83060343849987\) \([]\) \(172800\) \(1.4082\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 42483j1 has rank \(0\).

Complex multiplication

The elliptic curves in class 42483j do not have complex multiplication.

Modular form 42483.2.a.j

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