Properties

Label 187200.cb
Number of curves $1$
Conductor $187200$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("cb1")
 
E.isogeny_class()
 

Elliptic curves in class 187200.cb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
187200.cb1 187200on1 \([0, 0, 0, 6750, -168750]\) \(13824/13\) \(-31984875000000\) \([]\) \(399360\) \(1.2785\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 187200.cb1 has rank \(2\).

Complex multiplication

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

Modular form 187200.2.a.cb

sage: E.q_eigenform(10)
 
\(q - 3 q^{7} - 3 q^{11} - q^{13} - 7 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display