Properties

Label 25350.x
Number of curves $1$
Conductor $25350$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("x1")
 
E.isogeny_class()
 

Elliptic curves in class 25350.x

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
25350.x1 25350bv1 \([1, 0, 1, 9, 28]\) \(4459/18\) \(-380250\) \([]\) \(4992\) \(-0.24662\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 25350.x1 has rank \(1\).

Complex multiplication

The elliptic curves in class 25350.x do not have complex multiplication.

Modular form 25350.2.a.x

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} - q^{6} - 5 q^{7} - q^{8} + q^{9} - 3 q^{11} + q^{12} + 5 q^{14} + q^{16} - 4 q^{17} - q^{18} + q^{19} + O(q^{20})\) Copy content Toggle raw display