Properties

Label 75810.v
Number of curves $1$
Conductor $75810$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("v1")
 
E.isogeny_class()
 

Elliptic curves in class 75810.v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
75810.v1 75810p1 \([1, 1, 0, -19862, 2312916]\) \(-51026761/107520\) \(-1826072698168320\) \([]\) \(383040\) \(1.6174\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 75810.v1 has rank \(0\).

Complex multiplication

The elliptic curves in class 75810.v do not have complex multiplication.

Modular form 75810.2.a.v

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{5} + q^{6} - q^{7} - q^{8} + q^{9} - q^{10} - q^{12} - q^{13} + q^{14} - q^{15} + q^{16} - 4 q^{17} - q^{18} + O(q^{20})\) Copy content Toggle raw display