Properties

Label 9464.e
Number of curves $1$
Conductor $9464$
CM no
Rank $0$

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

Elliptic curves in class 9464.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9464.e1 9464f1 \([0, -1, 0, 180943, 19400549]\) \(530208386048/439239619\) \(-542752191013317376\) \([]\) \(112896\) \(2.0907\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9464.e1 has rank \(0\).

Complex multiplication

The elliptic curves in class 9464.e do not have complex multiplication.

Modular form 9464.2.a.e

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