Properties

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

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 70805.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
70805.i1 70805r1 \([0, -1, 1, -141558076, -649656051934]\) \(-110470393399988224/284716796875\) \(-808527614606616748046875\) \([]\) \(23721984\) \(3.4636\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 70805.i1 has rank \(0\).

Complex multiplication

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

Modular form 70805.2.a.i

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} + 2 q^{3} + 2 q^{4} - q^{5} - 4 q^{6} + q^{9} + 2 q^{10} - 2 q^{11} + 4 q^{12} + q^{13} - 2 q^{15} - 4 q^{16} - 2 q^{18} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display