Properties

Label 88200.bt
Number of curves $1$
Conductor $88200$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 88200.bt

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
88200.bt1 88200cq1 \([0, 0, 0, 8925, -733250]\) \(68782/243\) \(-277766496000000\) \([]\) \(268800\) \(1.4544\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 88200.bt1 has rank \(1\).

Complex multiplication

The elliptic curves in class 88200.bt do not have complex multiplication.

Modular form 88200.2.a.bt

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