Properties

Label 75810u
Number of curves $1$
Conductor $75810$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("u1")
 
E.isogeny_class()
 

Elliptic curves in class 75810u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
75810.s1 75810u1 \([1, 1, 0, 55948, 8514174]\) \(411664745519/900243750\) \(-42352760333493750\) \([]\) \(950400\) \(1.8746\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 75810u1 has rank \(1\).

Complex multiplication

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

Modular form 75810.2.a.u

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{5} + q^{6} - q^{7} - q^{8} + q^{9} - q^{10} - q^{11} - q^{12} - q^{13} + q^{14} - q^{15} + q^{16} - 4 q^{17} - q^{18} + O(q^{20})\) Copy content Toggle raw display