Properties

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

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Show commands: SageMath
E = EllipticCurve("y1")
 
E.isogeny_class()
 

Elliptic curves in class 70805.y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
70805.y1 70805bf1 \([0, 0, 1, -68782, -2484750]\) \(6193152/3125\) \(18158768588603125\) \([]\) \(685440\) \(1.8124\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 70805.y1 has rank \(1\).

Complex multiplication

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

Modular form 70805.2.a.y

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