Properties

Label 187200hb
Number of curves $1$
Conductor $187200$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("hb1")
 
E.isogeny_class()
 

Elliptic curves in class 187200hb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
187200.of1 187200hb1 \([0, 0, 0, -1830, 30150]\) \(-3137785344/2197\) \(-474552000\) \([]\) \(92160\) \(0.60127\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 187200hb1 has rank \(1\).

Complex multiplication

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

Modular form 187200.2.a.hb

sage: E.q_eigenform(10)
 
\(q + 3 q^{7} + 3 q^{11} - q^{13} + 5 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display