Properties

Label 13872bo
Number of curves $1$
Conductor $13872$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("bo1")
 
E.isogeny_class()
 

Elliptic curves in class 13872bo

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
13872.v1 13872bo1 \([0, 1, 0, -27840, -15259596]\) \(-289/12\) \(-99090132194869248\) \([]\) \(205632\) \(1.9413\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 13872bo1 has rank \(1\).

Complex multiplication

The elliptic curves in class 13872bo do not have complex multiplication.

Modular form 13872.2.a.bo

sage: E.q_eigenform(10)
 
\(q + q^{3} - 4 q^{5} + 3 q^{7} + q^{9} - 4 q^{11} - 5 q^{13} - 4 q^{15} - q^{19} + O(q^{20})\) Copy content Toggle raw display