Properties

Label 302330bf
Number of curves $1$
Conductor $302330$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bf1")
 
E.isogeny_class()
 

Elliptic curves in class 302330bf

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
302330.bf1 302330bf1 \([1, -1, 1, -63538, 9312867]\) \(-241118029063521/177844110850\) \(-20923181797391650\) \([]\) \(2519040\) \(1.8310\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 302330bf1 has rank \(1\).

Complex multiplication

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

Modular form 302330.2.a.bf

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