Properties

Label 9360b
Number of curves $1$
Conductor $9360$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 9360b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9360.c1 9360b1 \([0, 0, 0, -108, 972]\) \(-27648/65\) \(-327525120\) \([]\) \(3840\) \(0.32221\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9360b1 has rank \(1\).

Complex multiplication

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

Modular form 9360.2.a.b

sage: E.q_eigenform(10)
 
\(q - q^{5} - 3 q^{7} - 5 q^{11} - q^{13} - 3 q^{17} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display