Properties

Label 92400.bf
Number of curves $1$
Conductor $92400$
CM no
Rank $1$

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Show commands: SageMath
sage: E = EllipticCurve("bf1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 92400.bf

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
92400.bf1 92400dp1 \([0, -1, 0, 23352, 15666672]\) \(13752365416655/1044457193472\) \(-106952416611532800\) \([]\) \(794880\) \(1.9471\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 92400.bf1 has rank \(1\).

Complex multiplication

The elliptic curves in class 92400.bf do not have complex multiplication.

Modular form 92400.2.a.bf

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{7} + q^{9} + q^{11} + q^{13} - 5q^{17} + 8q^{19} + O(q^{20})\)  Toggle raw display