Properties

Label 96600.o
Number of curves $1$
Conductor $96600$
CM no
Rank $1$

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

Elliptic curves in class 96600.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
96600.o1 96600v1 \([0, -1, 0, 1717, 59112]\) \(55947622400/186264603\) \(-1862646030000\) \([]\) \(133056\) \(1.0375\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 96600.o1 has rank \(1\).

Complex multiplication

The elliptic curves in class 96600.o do not have complex multiplication.

Modular form 96600.2.a.o

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{7} + q^{9} + 3 q^{11} + 2 q^{13} - 4 q^{17} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display