Properties

Label 26775.h
Number of curves $1$
Conductor $26775$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("h1")
 
E.isogeny_class()
 

Elliptic curves in class 26775.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
26775.h1 26775bx1 \([0, 0, 1, -15375, -732344]\) \(1411502080/3213\) \(914951953125\) \([]\) \(74880\) \(1.1767\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 26775.h1 has rank \(1\).

Complex multiplication

The elliptic curves in class 26775.h do not have complex multiplication.

Modular form 26775.2.a.h

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} + 2 q^{4} + q^{7} - 3 q^{11} + 4 q^{13} - 2 q^{14} - 4 q^{16} + q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display