Properties

Label 96330r
Number of curves $1$
Conductor $96330$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("r1")
 
E.isogeny_class()
 

Elliptic curves in class 96330r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
96330.u1 96330r1 \([1, 1, 0, -126922, 19074424]\) \(-277199830921/33334740\) \(-27192171494547540\) \([]\) \(898560\) \(1.8888\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 96330r1 has rank \(0\).

Complex multiplication

The elliptic curves in class 96330r do not have complex multiplication.

Modular form 96330.2.a.r

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{5} + q^{6} + q^{7} - q^{8} + q^{9} - q^{10} + 4 q^{11} - q^{12} - q^{14} - q^{15} + q^{16} - 5 q^{17} - q^{18} - q^{19} + O(q^{20})\) Copy content Toggle raw display