Properties

Label 75150.p
Number of curves 1
Conductor 75150
CM no
Rank 1

Related objects

Downloads

Learn more about

Show commands for: SageMath

sage: E = EllipticCurve("75150.p1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 75150.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
75150.p1 75150a1 [1, -1, 0, -2112, -36864] [] 49920 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 75150.p1 has rank \(1\).

Modular form 75150.2.a.p

sage: E.q_eigenform(10)
 
\( q - q^{2} + q^{4} - q^{8} + 2q^{11} - q^{13} + q^{16} + 2q^{17} + 5q^{19} + O(q^{20}) \)