Properties

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

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Show commands: SageMath
E = EllipticCurve("n1")
 
E.isogeny_class()
 

Elliptic curves in class 42483.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
42483.n1 42483p1 \([0, 1, 1, -925185, -374398090]\) \(-629407744/70227\) \(-9771966393607120563\) \([]\) \(1209600\) \(2.3811\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 42483.n1 has rank \(0\).

Complex multiplication

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

Modular form 42483.2.a.n

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