Properties

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

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Show commands: SageMath
E = EllipticCurve("o1")
 
E.isogeny_class()
 

Elliptic curves in class 138600.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
138600.o1 138600dc1 \([0, 0, 0, -11221500, 14468532500]\) \(2143625552081920/693\) \(50519700000000\) \([]\) \(2795520\) \(2.4277\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 138600.o1 has rank \(1\).

Complex multiplication

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

Modular form 138600.2.a.o

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