Properties

Label 141610.b
Number of curves $1$
Conductor $141610$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 141610.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
141610.b1 141610bl1 \([1, -1, 0, -59299, -6177515]\) \(-2346853689/327680\) \(-3219836806430720\) \([]\) \(2177280\) \(1.7071\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 141610.b1 has rank \(0\).

Complex multiplication

The elliptic curves in class 141610.b do not have complex multiplication.

Modular form 141610.2.a.b

sage: E.q_eigenform(10)
 
\(q - q^{2} - 3 q^{3} + q^{4} + q^{5} + 3 q^{6} - q^{8} + 6 q^{9} - q^{10} + 2 q^{11} - 3 q^{12} + 6 q^{13} - 3 q^{15} + q^{16} - 6 q^{18} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display