Properties

Label 324800cf
Number of curves $1$
Conductor $324800$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("cf1")
 
E.isogeny_class()
 

Elliptic curves in class 324800cf

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
324800.cf1 324800cf1 \([0, -1, 0, -33, -116063]\) \(-1/1421\) \(-5820416000000\) \([]\) \(573440\) \(1.1283\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 324800cf1 has rank \(1\).

Complex multiplication

The elliptic curves in class 324800cf do not have complex multiplication.

Modular form 324800.2.a.cf

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{7} - 2 q^{9} + 5 q^{11} - 5 q^{13} + 4 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display