Properties

Label 78897h
Number of curves $1$
Conductor $78897$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 78897h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
78897.m1 78897h1 \([0, -1, 1, -841664, -296926513]\) \(-2731787761881088/19171971\) \(-462764772878499\) \([]\) \(1188864\) \(1.9934\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 78897h1 has rank \(1\).

Complex multiplication

The elliptic curves in class 78897h do not have complex multiplication.

Modular form 78897.2.a.h

sage: E.q_eigenform(10)
 
\(q + 2 q^{2} - q^{3} + 2 q^{4} + 3 q^{5} - 2 q^{6} + q^{7} + q^{9} + 6 q^{10} - 2 q^{11} - 2 q^{12} + q^{13} + 2 q^{14} - 3 q^{15} - 4 q^{16} + 2 q^{18} + q^{19} + O(q^{20})\) Copy content Toggle raw display