Properties

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

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Show commands: SageMath
E = EllipticCurve("u1")
 
E.isogeny_class()
 

Elliptic curves in class 70805u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
70805.k1 70805u1 \([0, 0, 1, -2023, 60184]\) \(-110592/125\) \(-1034898270875\) \([]\) \(241920\) \(0.99985\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 70805u1 has rank \(0\).

Complex multiplication

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

Modular form 70805.2.a.u

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