Properties

Label 86640.b
Number of curves $1$
Conductor $86640$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 86640.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
86640.b1 86640ce1 \([0, -1, 0, 184, -2064]\) \(463391/1440\) \(-2129264640\) \([]\) \(34560\) \(0.47318\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 86640.b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 86640.b do not have complex multiplication.

Modular form 86640.2.a.b

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - 3 q^{7} + q^{9} - q^{11} - 2 q^{13} + q^{15} + 2 q^{17} + O(q^{20})\) Copy content Toggle raw display