Properties

Label 92697.b
Number of curves $1$
Conductor $92697$
CM no
Rank $1$

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

Elliptic curves in class 92697.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
92697.b1 92697c1 \([1, 0, 0, -15508, 6583241]\) \(-6625/297\) \(-18491128052174217\) \([]\) \(412128\) \(1.8014\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 92697.b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 92697.b do not have complex multiplication.

Modular form 92697.2.a.b

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} - q^{4} - q^{6} + 3 q^{8} + q^{9} - q^{11} - q^{12} - 2 q^{13} - q^{16} - 3 q^{17} - q^{18} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display