Properties

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

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 70805.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
70805.b1 70805t1 \([0, 1, 1, -1364176, 491065586]\) \(1183744/245\) \(58109018266511478245\) \([]\) \(3172608\) \(2.5076\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 70805.b1 has rank \(0\).

Complex multiplication

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

Modular form 70805.2.a.b

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} - 2 q^{3} + 2 q^{4} - q^{5} + 4 q^{6} + q^{9} + 2 q^{10} + 3 q^{11} - 4 q^{12} + 2 q^{15} - 4 q^{16} - 2 q^{18} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display