Properties

Label 9200.w
Number of curves $1$
Conductor $9200$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
sage: E = EllipticCurve("w1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 9200.w

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9200.w1 9200d1 \([0, 0, 0, 36700, 355500]\) \(1366664500224/804542875\) \(-3218171500000000\) \([]\) \(34560\) \(1.6650\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9200.w1 has rank \(0\).

Complex multiplication

The elliptic curves in class 9200.w do not have complex multiplication.

Modular form 9200.2.a.w

sage: E.q_eigenform(10)
 
\(q + q^{7} - 3 q^{9} + 6 q^{11} + 2 q^{13} + 3 q^{17} + 6 q^{19} + O(q^{20})\)  Toggle raw display