Properties

Label 106134cs
Number of curves $1$
Conductor $106134$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("cs1")
 
E.isogeny_class()
 

Elliptic curves in class 106134cs

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
106134.db1 106134cs1 \([1, 0, 0, 23577805, 35325105633]\) \(628805222251722551/597713542447104\) \(-1377878049312690275352576\) \([]\) \(20321280\) \(3.3190\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 106134cs1 has rank \(1\).

Complex multiplication

The elliptic curves in class 106134cs do not have complex multiplication.

Modular form 106134.2.a.cs

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} + q^{4} + q^{5} + q^{6} + q^{8} + q^{9} + q^{10} + 3 q^{11} + q^{12} - 4 q^{13} + q^{15} + q^{16} + 4 q^{17} + q^{18} + O(q^{20})\) Copy content Toggle raw display