Properties

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

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Show commands: SageMath
E = EllipticCurve("r1")
 
E.isogeny_class()
 

Elliptic curves in class 38025.r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
38025.r1 38025x1 \([1, -1, 1, -305, -178]\) \(1755\) \(1782421875\) \([]\) \(14400\) \(0.46492\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 38025.r1 has rank \(2\).

Complex multiplication

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

Modular form 38025.2.a.r

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