Properties

Label 92400.bt
Number of curves $1$
Conductor $92400$
CM no
Rank $0$

Related objects

Downloads

Learn more

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

Elliptic curves in class 92400.bt

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
92400.bt1 92400r1 \([0, -1, 0, -25485208, -50256031088]\) \(-91528907990864450/1604769890031\) \(-32095397800620000000000\) \([]\) \(7983360\) \(3.1160\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 92400.bt1 has rank \(0\).

Complex multiplication

The elliptic curves in class 92400.bt do not have complex multiplication.

Modular form 92400.2.a.bt

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{7} + q^{9} - q^{11} - 4 q^{13} + 4 q^{17} + 2 q^{19} + O(q^{20})\)  Toggle raw display