Properties

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

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Show commands: SageMath
E = EllipticCurve("cr1")
 
E.isogeny_class()
 

Elliptic curves in class 96600.cr

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
96600.cr1 96600cs1 \([0, 1, 0, -483, -6762]\) \(-1248716800/1159683\) \(-11596830000\) \([]\) \(62400\) \(0.62772\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 96600.cr1 has rank \(0\).

Complex multiplication

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

Modular form 96600.2.a.cr

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