Properties

Label 67158s
Number of curves $1$
Conductor $67158$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("s1")
 
E.isogeny_class()
 

Elliptic curves in class 67158s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
67158.g1 67158s1 \([1, -1, 0, -1485, 16249]\) \(496981290961/138211164\) \(100755938556\) \([]\) \(79872\) \(0.81861\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 67158s1 has rank \(2\).

Complex multiplication

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

Modular form 67158.2.a.s

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} + q^{7} - q^{8} + q^{10} - 3 q^{11} - q^{13} - q^{14} + q^{16} + 3 q^{17} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display