Properties

Label 187272.p
Number of curves $1$
Conductor $187272$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 187272.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
187272.p1 187272t1 \([0, 0, 0, -867, -4913]\) \(2304\) \(31282289424\) \([]\) \(122880\) \(0.71002\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 187272.p1 has rank \(1\).

Complex multiplication

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

Modular form 187272.2.a.p

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