Properties

Label 25242.d
Number of curves $1$
Conductor $25242$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 25242.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
25242.d1 25242e1 \([1, 0, 1, -15, 130]\) \(-338608873/7269696\) \(-7269696\) \([]\) \(7056\) \(-0.0025582\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 25242.d1 has rank \(1\).

Complex multiplication

The elliptic curves in class 25242.d do not have complex multiplication.

Modular form 25242.2.a.d

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} - 3 q^{5} - q^{6} - q^{7} - q^{8} + q^{9} + 3 q^{10} + 2 q^{11} + q^{12} + 4 q^{13} + q^{14} - 3 q^{15} + q^{16} - q^{18} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display