Properties

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

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 70805.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
70805.l1 70805n1 \([1, 1, 1, -14456, -81909822]\) \(-49/425\) \(-2897762970750114425\) \([]\) \(967680\) \(2.2215\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 70805.l1 has rank \(0\).

Complex multiplication

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

Modular form 70805.2.a.l

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} - q^{4} - q^{5} + q^{6} + 3 q^{8} - 2 q^{9} + q^{10} + 3 q^{11} + q^{12} - q^{13} + q^{15} - q^{16} + 2 q^{18} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display