Properties

Label 68400cq
Number of curves $1$
Conductor $68400$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("cq1")
 
E.isogeny_class()
 

Elliptic curves in class 68400cq

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
68400.c1 68400cq1 \([0, 0, 0, -28875, 1875625]\) \(584362240/4617\) \(21036206250000\) \([]\) \(230400\) \(1.3845\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 68400cq1 has rank \(1\).

Complex multiplication

The elliptic curves in class 68400cq do not have complex multiplication.

Modular form 68400.2.a.cq

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