Properties

Label 302330u
Number of curves $1$
Conductor $302330$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("u1")
 
E.isogeny_class()
 

Elliptic curves in class 302330u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
302330.u1 302330u1 \([1, 1, 1, -1, 3429]\) \(-1/43190\) \(-5081260310\) \([]\) \(203136\) \(0.54128\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 302330u1 has rank \(0\).

Complex multiplication

The elliptic curves in class 302330u do not have complex multiplication.

Modular form 302330.2.a.u

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} - q^{5} - q^{6} + q^{8} - 2 q^{9} - q^{10} - 4 q^{11} - q^{12} + 5 q^{13} + q^{15} + q^{16} + 4 q^{17} - 2 q^{18} + q^{19} + O(q^{20})\) Copy content Toggle raw display