Properties

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

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Show commands: SageMath
E = EllipticCurve("w1")
 
E.isogeny_class()
 

Elliptic curves in class 187200.w

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
187200.w1 187200cn1 \([0, 0, 0, 172500, 304450000]\) \(304175/21632\) \(-40370503680000000000\) \([]\) \(4838400\) \(2.4416\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 187200.w1 has rank \(1\).

Complex multiplication

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

Modular form 187200.2.a.w

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