Properties

Label 129285.o
Number of curves $1$
Conductor $129285$
CM no
Rank $0$

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

Elliptic curves in class 129285.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
129285.o1 129285f1 \([0, 0, 1, 13182, -449836]\) \(11501568/10625\) \(-234012750586875\) \([]\) \(259584\) \(1.4445\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 129285.o1 has rank \(0\).

Complex multiplication

The elliptic curves in class 129285.o do not have complex multiplication.

Modular form 129285.2.a.o

sage: E.q_eigenform(10)
 
\(q - 2 q^{4} - q^{5} + 3 q^{11} + 4 q^{16} + q^{17} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display