Properties

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

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 38115.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
38115.p1 38115r1 \([0, 0, 1, 593142, 91734849]\) \(17869652393984/13156171875\) \(-16990774571221171875\) \([]\) \(752640\) \(2.3782\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 38115.p1 has rank \(0\).

Complex multiplication

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

Modular form 38115.2.a.p

sage: E.q_eigenform(10)
 
\(q - 2 q^{4} - q^{5} + q^{7} + 4 q^{13} + 4 q^{16} - 5 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display