Properties

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

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Show commands: SageMath
E = EllipticCurve("k1")
 
E.isogeny_class()
 

Elliptic curves in class 304920k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
304920.k1 304920k1 \([0, 0, 0, 11517, 109307]\) \(119704073984/72930375\) \(-102929847174000\) \([]\) \(921600\) \(1.3780\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 304920k1 has rank \(0\).

Complex multiplication

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

Modular form 304920.2.a.k

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