Properties

Label 81200bw
Number of curves $1$
Conductor $81200$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("bw1")
 
E.isogeny_class()
 

Elliptic curves in class 81200bw

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
81200.bb1 81200bw1 \([0, -1, 0, -8, 14512]\) \(-1/1421\) \(-90944000000\) \([]\) \(71680\) \(0.78168\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 81200bw1 has rank \(0\).

Complex multiplication

The elliptic curves in class 81200bw do not have complex multiplication.

Modular form 81200.2.a.bw

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{7} - 2 q^{9} + 5 q^{11} + 5 q^{13} + 4 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display