Properties

Label 67158p
Number of curves $1$
Conductor $67158$
CM no
Rank $1$

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

Elliptic curves in class 67158p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
67158.h1 67158p1 \([1, -1, 0, -24885, -1504251]\) \(2337862343841361/913886064\) \(666222940656\) \([]\) \(129024\) \(1.2336\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 67158p1 has rank \(1\).

Complex multiplication

The elliptic curves in class 67158p do not have complex multiplication.

Modular form 67158.2.a.p

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} + q^{7} - q^{8} + q^{10} - q^{11} - q^{13} - q^{14} + q^{16} + 5 q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display