Properties

Label 187200.hf
Number of curves $1$
Conductor $187200$
CM no
Rank $0$

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

Elliptic curves in class 187200.hf

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
187200.hf1 187200ba1 \([0, 0, 0, -129463500, -602229670000]\) \(-3214683778008145/238496514048\) \(-17803669375077580800000000\) \([]\) \(29675520\) \(3.5940\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 187200.hf1 has rank \(0\).

Complex multiplication

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

Modular form 187200.2.a.hf

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