Properties

Label 7360.j
Number of curves $1$
Conductor $7360$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 7360.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7360.j1 7360l1 \([0, -1, 0, 15, 25]\) \(340736/575\) \(-588800\) \([]\) \(512\) \(-0.20785\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7360.j1 has rank \(1\).

Complex multiplication

The elliptic curves in class 7360.j do not have complex multiplication.

Modular form 7360.2.a.j

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} - 2 q^{7} - 2 q^{9} - q^{13} - q^{15} - 4 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display