Properties

Label 96330.e
Number of curves $1$
Conductor $96330$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 96330.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
96330.e1 96330i1 \([1, 1, 0, -1238, 20142]\) \(-1243217046721/371414850\) \(-62769109650\) \([]\) \(122880\) \(0.78611\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 96330.e1 has rank \(2\).

Complex multiplication

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

Modular form 96330.2.a.e

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