Properties

Label 435600df
Number of curves $1$
Conductor $435600$
CM no
Rank $2$

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

Elliptic curves in class 435600df

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
435600.df1 435600df1 \([0, 0, 0, -9075, 1796850]\) \(-675/11\) \(-1346953259520000\) \([]\) \(1474560\) \(1.5843\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 435600df1 has rank \(2\).

Complex multiplication

The elliptic curves in class 435600df do not have complex multiplication.

Modular form 435600.2.a.df

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