Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("pi1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 187200.pi

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
187200.pi1 187200gg1 \([0, 0, 0, 11220, 3694480]\) \(261568120/10024911\) \(-5986844769484800\) \([]\) \(829440\) \(1.7072\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 187200.pi1 has rank \(1\).

Complex multiplication

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

Modular form 187200.2.a.pi

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