Properties

Label 138600.w
Number of curves $1$
Conductor $138600$
CM no
Rank $1$

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

Elliptic curves in class 138600.w

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
138600.w1 138600de1 \([0, 0, 0, -25875, -2261250]\) \(-6570180/3773\) \(-1100206800000000\) \([]\) \(403200\) \(1.5891\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 138600.w1 has rank \(1\).

Complex multiplication

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

Modular form 138600.2.a.w

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