Properties

Label 397800bt
Number of curves $1$
Conductor $397800$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 397800bt

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
397800.bt1 397800bt1 \([0, 0, 0, -3002700, 18537756500]\) \(-1026767289066496/50316682419315\) \(-146723445934722540000000\) \([]\) \(40734720\) \(3.1252\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 397800bt1 has rank \(1\).

Complex multiplication

The elliptic curves in class 397800bt do not have complex multiplication.

Modular form 397800.2.a.bt

sage: E.q_eigenform(10)
 
\(q - 2 q^{7} + 6 q^{11} - q^{13} + q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display