Properties

Label 112710bt
Number of curves $1$
Conductor $112710$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("bt1")
 
E.isogeny_class()
 

Elliptic curves in class 112710bt

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
112710.bv1 112710bt1 \([1, 1, 1, -23393111, -43562913811]\) \(-16950869189311243954609/1791373816627200\) \(-149617332538520371200\) \([]\) \(9214560\) \(2.9026\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 112710bt1 has rank \(1\).

Complex multiplication

The elliptic curves in class 112710bt do not have complex multiplication.

Modular form 112710.2.a.bt

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} - q^{5} - q^{6} + 2 q^{7} + q^{8} + q^{9} - q^{10} + 2 q^{11} - q^{12} - q^{13} + 2 q^{14} + q^{15} + q^{16} + q^{18} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display