Properties

Label 487872.df
Number of curves $1$
Conductor $487872$
CM no
Rank $1$

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

Elliptic curves in class 487872.df

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
487872.df1 487872df1 \([0, 0, 0, 1716, 151184]\) \(24167/441\) \(-10197445902336\) \([]\) \(1179648\) \(1.1765\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 487872.df1 has rank \(1\).

Complex multiplication

The elliptic curves in class 487872.df do not have complex multiplication.

Modular form 487872.2.a.df

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