Properties

Label 206400.c
Number of curves $1$
Conductor $206400$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 206400.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
206400.c1 206400dq1 \([0, -1, 0, 967, -41313]\) \(99897344/783675\) \(-783675000000\) \([]\) \(368640\) \(0.96374\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 206400.c1 has rank \(1\).

Complex multiplication

The elliptic curves in class 206400.c do not have complex multiplication.

Modular form 206400.2.a.c

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