Properties

Label 13950cl
Number of curves $1$
Conductor $13950$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("cl1")
 
E.isogeny_class()
 

Elliptic curves in class 13950cl

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
13950.bt1 13950cl1 \([1, -1, 1, -5186480, -4568634853]\) \(-1354547383894636849/8173828125000\) \(-93105010986328125000\) \([]\) \(898560\) \(2.6712\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 13950cl1 has rank \(1\).

Complex multiplication

The elliptic curves in class 13950cl do not have complex multiplication.

Modular form 13950.2.a.cl

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} - 3 q^{7} + q^{8} - 5 q^{11} + 6 q^{13} - 3 q^{14} + q^{16} - 4 q^{17} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display