Properties

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

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Show commands: SageMath
E = EllipticCurve("ba1")
 
E.isogeny_class()
 

Elliptic curves in class 42483ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
42483.q1 42483ba1 \([0, 1, 1, 462593, -268926962]\) \(464027648/1594323\) \(-37614249157868794467\) \([]\) \(933660\) \(2.4392\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 42483ba1 has rank \(0\).

Complex multiplication

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

Modular form 42483.2.a.ba

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