Properties

Label 138600es
Number of curves $1$
Conductor $138600$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("es1")
 
E.isogeny_class()
 

Elliptic curves in class 138600es

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
138600.f1 138600es1 \([0, 0, 0, -14580, 677700]\) \(-544195584/77\) \(-48498912000\) \([]\) \(221184\) \(1.0666\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 138600es1 has rank \(2\).

Complex multiplication

The elliptic curves in class 138600es do not have complex multiplication.

Modular form 138600.2.a.es

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