Properties

Label 138600cb
Number of curves $1$
Conductor $138600$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("cb1")
 
E.isogeny_class()
 

Elliptic curves in class 138600cb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
138600.y1 138600cb1 \([0, 0, 0, -2775, -1866625]\) \(-12967168/8251551\) \(-1503845169750000\) \([]\) \(580608\) \(1.5913\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 138600cb1 has rank \(1\).

Complex multiplication

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

Modular form 138600.2.a.cb

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