Properties

Label 92575bb
Number of curves $1$
Conductor $92575$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bb1")
 
E.isogeny_class()
 

Elliptic curves in class 92575bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
92575.n1 92575bb1 \([0, 1, 1, -4540583, -3725897006]\) \(-35806478336/3703\) \(-1070658001888671875\) \([]\) \(1436160\) \(2.4921\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 92575bb1 has rank \(0\).

Complex multiplication

The elliptic curves in class 92575bb do not have complex multiplication.

Modular form 92575.2.a.bb

sage: E.q_eigenform(10)
 
\(q + q^{3} - 2 q^{4} + q^{7} - 2 q^{9} + q^{11} - 2 q^{12} + q^{13} + 4 q^{16} - q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display