Properties

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

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

Elliptic curves in class 42483.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
42483.j1 42483i1 \([0, -1, 1, -79, -246]\) \(-3899392/3\) \(-42483\) \([]\) \(5940\) \(-0.17999\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

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

Complex multiplication

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

Modular form 42483.2.a.j

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