Properties

Label 393129cd
Number of curves $1$
Conductor $393129$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("cd1")
 
E.isogeny_class()
 

Elliptic curves in class 393129cd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
393129.cd1 393129cd1 \([1, -1, 0, -21630285, -29845501218]\) \(51026761/11979\) \(262744123722318986339691\) \([]\) \(39398400\) \(3.2055\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 393129cd1 has rank \(1\).

Complex multiplication

The elliptic curves in class 393129cd do not have complex multiplication.

Modular form 393129.2.a.cd

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{4} - q^{5} + 3 q^{7} - 3 q^{8} - q^{10} - 6 q^{13} + 3 q^{14} - q^{16} + O(q^{20})\) Copy content Toggle raw display