Properties

Label 145200ct
Number of curves 2
Conductor 145200
CM no
Rank 0
Graph

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Show commands for: SageMath
sage: E = EllipticCurve("145200.jq1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 145200ct

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
145200.jq2 145200ct1 [0, 1, 0, 8067, -151362] [2] 368640 \(\Gamma_0(N)\)-optimal
145200.jq1 145200ct2 [0, 1, 0, -37308, -1331112] [2] 737280  

Rank

sage: E.rank()
 

The elliptic curves in class 145200ct have rank \(0\).

Modular form 145200.2.a.jq

sage: E.q_eigenform(10)
 
\( q + q^{3} + 2q^{7} + q^{9} - 2q^{13} + 4q^{17} - 6q^{19} + O(q^{20}) \)

Isogeny matrix

sage: E.isogeny_class().matrix()
 

The \(i,j\) entry is the smallest degree of a cyclic isogeny between the \(i\)-th and \(j\)-th curve in the isogeny class, in the Cremona numbering.

\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)

Isogeny graph

sage: E.isogeny_graph().plot(edge_labels=True)
 

The vertices are labelled with Cremona labels.