Properties

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

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 67158g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
67158.i1 67158g1 \([1, -1, 0, 30, 52]\) \(108531333/119392\) \(-3223584\) \([]\) \(12160\) \(-0.064627\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 67158g1 has rank \(1\).

Complex multiplication

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

Modular form 67158.2.a.g

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} + q^{7} - q^{8} + q^{10} - q^{13} - q^{14} + q^{16} - 6 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display