Properties

Label 132600o
Number of curves $1$
Conductor $132600$
CM no
Rank $1$

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

Elliptic curves in class 132600o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
132600.a1 132600o1 \([0, -1, 0, 12, 417]\) \(439040/191607\) \(-76642800\) \([]\) \(58752\) \(0.19198\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 132600o1 has rank \(1\).

Complex multiplication

The elliptic curves in class 132600o do not have complex multiplication.

Modular form 132600.2.a.o

sage: E.q_eigenform(10)
 
\(q - q^{3} - 5 q^{7} + q^{9} - 2 q^{11} - q^{13} + q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display