Properties

Label 329175df
Number of curves $1$
Conductor $329175$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("df1")
 
E.isogeny_class()
 

Elliptic curves in class 329175df

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
329175.df1 329175df1 \([0, 0, 1, 975, 18781]\) \(242970624/501809\) \(-211700671875\) \([]\) \(638976\) \(0.85757\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 329175df1 has rank \(0\).

Complex multiplication

The elliptic curves in class 329175df do not have complex multiplication.

Modular form 329175.2.a.df

sage: E.q_eigenform(10)
 
\(q + 2 q^{2} + 2 q^{4} - q^{7} + q^{11} + 7 q^{13} - 2 q^{14} - 4 q^{16} + 5 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display