Properties

Label 9360.e
Number of curves $1$
Conductor $9360$
CM no
Rank $0$

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

Elliptic curves in class 9360.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9360.e1 9360bq1 \([0, 0, 0, 1752, -5289572]\) \(3186827264/64769371875\) \(-12087519256800000\) \([]\) \(49920\) \(1.7648\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9360.e1 has rank \(0\).

Complex multiplication

The elliptic curves in class 9360.e do not have complex multiplication.

Modular form 9360.2.a.e

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