Properties

Label 187200.oo
Number of curves $1$
Conductor $187200$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("oo1")
 
E.isogeny_class()
 

Elliptic curves in class 187200.oo

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
187200.oo1 187200bv1 \([0, 0, 0, -75, 109600]\) \(-1600/177957\) \(-5189226120000\) \([]\) \(368640\) \(1.1187\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 187200.oo1 has rank \(0\).

Complex multiplication

The elliptic curves in class 187200.oo do not have complex multiplication.

Modular form 187200.2.a.oo

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