Properties

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

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Show commands: SageMath
E = EllipticCurve("er1")
 
E.isogeny_class()
 

Elliptic curves in class 187200.er

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
187200.er1 187200lq1 \([0, 0, 0, -90, 270]\) \(69120/13\) \(15163200\) \([]\) \(26880\) \(0.095685\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 187200.er1 has rank \(0\).

Complex multiplication

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

Modular form 187200.2.a.er

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