Properties

Label 187200hf
Number of curves $1$
Conductor $187200$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("hf1")
 
E.isogeny_class()
 

Elliptic curves in class 187200hf

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
187200.de1 187200hf1 \([0, 0, 0, 166800, -680756000]\) \(74251994112/29007265625\) \(-200498220000000000000\) \([]\) \(5160960\) \(2.5747\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 187200hf1 has rank \(1\).

Complex multiplication

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

Modular form 187200.2.a.hf

sage: E.q_eigenform(10)
 
\(q - 3 q^{7} + 3 q^{11} + q^{13} + 3 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display