Properties

Label 38115.r
Number of curves $1$
Conductor $38115$
CM no
Rank $0$

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

Elliptic curves in class 38115.r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
38115.r1 38115w1 \([0, 0, 1, -143022, 67292365]\) \(-250523582464/1369738755\) \(-1768973727980438595\) \([]\) \(384000\) \(2.1855\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 38115.r1 has rank \(0\).

Complex multiplication

The elliptic curves in class 38115.r do not have complex multiplication.

Modular form 38115.2.a.r

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