Properties

Label 67158.v
Number of curves $1$
Conductor $67158$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("v1")
 
E.isogeny_class()
 

Elliptic curves in class 67158.v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
67158.v1 67158h1 \([1, -1, 0, -30381, -2458811]\) \(-114861420502828299/30859829649376\) \(-833215400533152\) \([]\) \(367360\) \(1.5794\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 67158.v1 has rank \(1\).

Complex multiplication

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

Modular form 67158.2.a.v

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