Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("bd1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 92400.bd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
92400.bd1 92400dq1 \([0, -1, 0, 628942, 95706987]\) \(110056273881297152/79587574568271\) \(-19896893642067750000\) \([]\) \(1814400\) \(2.3915\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 92400.bd1 has rank \(1\).

Complex multiplication

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

Modular form 92400.2.a.bd

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