Properties

Label 88200fq
Number of curves $1$
Conductor $88200$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("fq1")
 
E.isogeny_class()
 

Elliptic curves in class 88200fq

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
88200.cq1 88200fq1 \([0, 0, 0, -3675, 575750]\) \(-196/5\) \(-140026320000000\) \([]\) \(207360\) \(1.3950\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 88200fq1 has rank \(1\).

Complex multiplication

The elliptic curves in class 88200fq do not have complex multiplication.

Modular form 88200.2.a.fq

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