Properties

Label 20070bh
Number of curves $1$
Conductor $20070$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("bh1")
 
E.isogeny_class()
 

Elliptic curves in class 20070bh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
20070.bc1 20070bh1 \([1, -1, 1, 13, 101]\) \(357911/6690\) \(-4877010\) \([]\) \(3520\) \(-0.036239\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 20070bh1 has rank \(0\).

Complex multiplication

The elliptic curves in class 20070bh do not have complex multiplication.

Modular form 20070.2.a.bh

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} + q^{5} - q^{7} + q^{8} + q^{10} - 4 q^{11} + 6 q^{13} - q^{14} + q^{16} - q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display