Properties

Label 470106g
Number of curves $1$
Conductor $470106$
CM no
Rank $2$

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

Elliptic curves in class 470106g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
470106.g1 470106g1 \([1, -1, 0, -353691, 79574053]\) \(57053285789473/1193647104\) \(102374481952963584\) \([]\) \(6881280\) \(2.0538\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 470106g1 has rank \(2\).

Complex multiplication

The elliptic curves in class 470106g do not have complex multiplication.

Modular form 470106.2.a.g

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