Properties

Label 38025.a
Number of curves $1$
Conductor $38025$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 38025.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
38025.a1 38025bu1 \([0, 0, 1, -12675, 5011906]\) \(-4096/195\) \(-10721172396796875\) \([]\) \(387072\) \(1.7559\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 38025.a1 has rank \(2\).

Complex multiplication

The elliptic curves in class 38025.a do not have complex multiplication.

Modular form 38025.2.a.a

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