Properties

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

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 42483.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
42483.p1 42483n1 \([0, 1, 1, 2728353, 3855124424]\) \(464027648/1594323\) \(-7717163209472668015827\) \([]\) \(2267460\) \(2.8828\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 42483.p1 has rank \(0\).

Complex multiplication

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

Modular form 42483.2.a.p

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