Properties

Label 7200.bt
Number of curves $1$
Conductor $7200$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 7200.bt

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7200.bt1 7200bm1 \([0, 0, 0, -6600, 206480]\) \(-425920000/243\) \(-18139852800\) \([]\) \(7680\) \(0.91478\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7200.bt1 has rank \(1\).

Complex multiplication

The elliptic curves in class 7200.bt do not have complex multiplication.

Modular form 7200.2.a.bt

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