Properties

Label 70805.bg
Number of curves $1$
Conductor $70805$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bg1")
 
E.isogeny_class()
 

Elliptic curves in class 70805.bg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
70805.bg1 70805g1 \([0, 0, 1, -238, -506]\) \(6193152/3125\) \(752303125\) \([]\) \(40320\) \(0.39583\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 70805.bg1 has rank \(0\).

Complex multiplication

The elliptic curves in class 70805.bg do not have complex multiplication.

Modular form 70805.2.a.bg

sage: E.q_eigenform(10)
 
\(q + 3 q^{3} - 2 q^{4} - q^{5} + 6 q^{9} - 2 q^{11} - 6 q^{12} + 2 q^{13} - 3 q^{15} + 4 q^{16} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display