Properties

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

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Show commands: SageMath
E = EllipticCurve("h1")
 
E.isogeny_class()
 

Elliptic curves in class 42483h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
42483.h1 42483h1 \([0, -1, 1, 133689281, -1322040298944]\) \(464027648/1594323\) \(-907916534431249919394030723\) \([]\) \(15872220\) \(3.8558\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 42483h1 has rank \(0\).

Complex multiplication

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

Modular form 42483.2.a.h

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