Properties

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

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 42483d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
42483.i1 42483d1 \([0, -1, 1, 9441, 781346]\) \(464027648/1594323\) \(-319715842530483\) \([]\) \(133380\) \(1.4662\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 42483d1 has rank \(0\).

Complex multiplication

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

Modular form 42483.2.a.d

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