Properties

Label 150075bl
Number of curves $1$
Conductor $150075$
CM no
Rank $0$

Related objects

Downloads

Learn more

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

Elliptic curves in class 150075bl

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
150075.bk1 150075bl1 \([0, 0, 1, -15285, 728671]\) \(-21669680312320/45436707\) \(-828083985075\) \([]\) \(649728\) \(1.1722\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 150075bl1 has rank \(0\).

Complex multiplication

The elliptic curves in class 150075bl do not have complex multiplication.

Modular form 150075.2.a.bl

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