Properties

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

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 187200.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
187200.f1 187200b1 \([0, 0, 0, -7875, 270000]\) \(-2963520/13\) \(-236925000000\) \([]\) \(307200\) \(1.0356\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 187200.f1 has rank \(0\).

Complex multiplication

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

Modular form 187200.2.a.f

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