Properties

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

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Show commands: SageMath
E = EllipticCurve("ow1")
 
E.isogeny_class()
 

Elliptic curves in class 187200ow

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
187200.og1 187200ow1 \([0, 0, 0, 30, 50]\) \(13824/13\) \(-2808000\) \([]\) \(26624\) \(-0.075485\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 187200ow1 has rank \(1\).

Complex multiplication

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

Modular form 187200.2.a.ow

sage: E.q_eigenform(10)
 
\(q + 3 q^{7} + 3 q^{11} + q^{13} - 7 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display