Properties

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

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Show commands: SageMath
E = EllipticCurve("fm1")
 
E.isogeny_class()
 

Elliptic curves in class 92400.fm

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
92400.fm1 92400cd1 \([0, 1, 0, -41508, -3385137]\) \(-31636584484096/1331669031\) \(-332917257750000\) \([]\) \(403200\) \(1.5532\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 92400.fm1 has rank \(1\).

Complex multiplication

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

Modular form 92400.2.a.fm

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