Properties

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

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Show commands: SageMath
E = EllipticCurve("v1")
 
E.isogeny_class()
 

Elliptic curves in class 96600.v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
96600.v1 96600by1 \([0, -1, 0, -21308, 4855812]\) \(-6687321077200/59606972523\) \(-9537115603680000\) \([]\) \(604800\) \(1.7487\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 96600.v1 has rank \(1\).

Complex multiplication

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

Modular form 96600.2.a.v

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