Properties

Label 304920q
Number of curves $1$
Conductor $304920$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("q1")
 
E.isogeny_class()
 

Elliptic curves in class 304920q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
304920.q1 304920q1 \([0, 0, 0, 12254517, 57220292943]\) \(24915762432/187578125\) \(-1532217143174975853750000\) \([]\) \(55351296\) \(3.3223\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 304920q1 has rank \(0\).

Complex multiplication

The elliptic curves in class 304920q do not have complex multiplication.

Modular form 304920.2.a.q

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