Properties

Label 70805bl
Number of curves $1$
Conductor $70805$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("bl1")
 
E.isogeny_class()
 

Elliptic curves in class 70805bl

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
70805.f1 70805bl1 \([0, 0, 1, 2023, 3430502]\) \(110592/614125\) \(-5084455204808875\) \([]\) \(414720\) \(1.6927\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 70805bl1 has rank \(1\).

Complex multiplication

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

Modular form 70805.2.a.bl

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