Properties

Label 25200.df
Number of curves $1$
Conductor $25200$
CM no
Rank $1$

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

Elliptic curves in class 25200.df

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
25200.df1 25200fv1 \([0, 0, 0, -25875, 1732050]\) \(-1026590625/100352\) \(-187280916480000\) \([]\) \(88704\) \(1.4796\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 25200.df1 has rank \(1\).

Complex multiplication

The elliptic curves in class 25200.df do not have complex multiplication.

Modular form 25200.2.a.df

sage: E.q_eigenform(10)
 
\(q + q^{7} - 5 q^{11} - 6 q^{13} + q^{17} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display