Properties

Label 91035.d
Number of curves $1$
Conductor $91035$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
sage: E = EllipticCurve("d1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 91035.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
91035.d1 91035bk1 \([0, 0, 1, -867, -155988]\) \(-4096/595\) \(-10469791241595\) \([]\) \(193536\) \(1.1777\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 91035.d1 has rank \(1\).

Complex multiplication

The elliptic curves in class 91035.d do not have complex multiplication.

Modular form 91035.2.a.d

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