Properties

Label 96600.a
Number of curves $1$
Conductor $96600$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 96600.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
96600.a1 96600j1 \([0, -1, 0, -833, 7772037]\) \(-25600/10437147\) \(-26092867500000000\) \([]\) \(691200\) \(1.8289\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 96600.a1 has rank \(0\).

Complex multiplication

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

Modular form 96600.2.a.a

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{7} + q^{9} - 5 q^{11} + 2 q^{13} - 4 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display