Properties

Label 9240.b
Number of curves $1$
Conductor $9240$
CM no
Rank $1$

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

Elliptic curves in class 9240.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9240.b1 9240s1 \([0, -1, 0, 639, 1365]\) \(112539892736/69328875\) \(-17748192000\) \([]\) \(5760\) \(0.65578\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9240.b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 9240.b do not have complex multiplication.

Modular form 9240.2.a.b

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + q^{7} + q^{9} - q^{11} - 4 q^{13} + q^{15} + q^{17} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display