Properties

Label 140679ba
Number of curves $1$
Conductor $140679$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("ba1")
 
E.isogeny_class()
 

Elliptic curves in class 140679ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
140679.bc1 140679ba1 \([1, -1, 0, -9, -109404]\) \(-1/60291\) \(-5170925201211\) \([]\) \(165888\) \(1.1184\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 140679ba1 has rank \(1\).

Complex multiplication

The elliptic curves in class 140679ba do not have complex multiplication.

Modular form 140679.2.a.ba

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