Properties

Label 304704.eh
Number of curves $1$
Conductor $304704$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("eh1")
 
E.isogeny_class()
 

Elliptic curves in class 304704.eh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
304704.eh1 304704eh1 \([0, 0, 0, -82524, -9441592]\) \(-562432/23\) \(-2541688576883712\) \([]\) \(2027520\) \(1.7235\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 304704.eh1 has rank \(0\).

Complex multiplication

The elliptic curves in class 304704.eh do not have complex multiplication.

Modular form 304704.2.a.eh

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