Properties

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

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Show commands: SageMath
E = EllipticCurve("t1")
 
E.isogeny_class()
 

Elliptic curves in class 96330t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
96330.w1 96330t1 \([1, 1, 0, -5191007, -4714438971]\) \(-18964083896367961/785172191040\) \(-640489077506208939840\) \([]\) \(5091840\) \(2.7595\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 96330t1 has rank \(0\).

Complex multiplication

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

Modular form 96330.2.a.t

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