Properties

Label 187272a
Number of curves $1$
Conductor $187272$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 187272a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
187272.f1 187272a1 \([0, 0, 0, -7803, 132651]\) \(2304\) \(22804788990096\) \([]\) \(368640\) \(1.2593\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 187272a1 has rank \(1\).

Complex multiplication

The elliptic curves in class 187272a do not have complex multiplication.

Modular form 187272.2.a.a

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