Properties

Label 302330.be
Number of curves $1$
Conductor $302330$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("be1")
 
E.isogeny_class()
 

Elliptic curves in class 302330.be

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
302330.be1 302330be1 \([1, -1, 1, 648677, -1428575669]\) \(5236312031492031/155930214400000\) \(-898906655903334400000\) \([]\) \(10395840\) \(2.7007\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 302330.be1 has rank \(1\).

Complex multiplication

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

Modular form 302330.2.a.be

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