Properties

Label 69828h
Number of curves $1$
Conductor $69828$
CM no
Rank $1$

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

Elliptic curves in class 69828h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
69828.s1 69828h1 \([0, -1, 0, -27684, -1763784]\) \(-32754774352/1089\) \(-78015193344\) \([]\) \(172800\) \(1.1830\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 69828h1 has rank \(1\).

Complex multiplication

The elliptic curves in class 69828h do not have complex multiplication.

Modular form 69828.2.a.h

sage: E.q_eigenform(10)
 
\(q - q^{3} + 3 q^{5} + 4 q^{7} + q^{9} - q^{11} - q^{13} - 3 q^{15} - 2 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display