Properties

Label 303450.df
Number of curves $1$
Conductor $303450$
CM no
Rank $1$

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

Elliptic curves in class 303450.df

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
303450.df1 303450df1 \([1, 0, 1, -18001, 1018148]\) \(-142843688929/16800000\) \(-75862500000000\) \([]\) \(1105920\) \(1.3992\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 303450.df1 has rank \(1\).

Complex multiplication

The elliptic curves in class 303450.df do not have complex multiplication.

Modular form 303450.2.a.df

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} - q^{6} + q^{7} - q^{8} + q^{9} + q^{11} + q^{12} + 3 q^{13} - q^{14} + q^{16} - q^{18} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display