Properties

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

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 302330.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
302330.b1 302330b1 \([1, 0, 1, 8206, 1100292]\) \(519524563319/4740534400\) \(-557719131625600\) \([]\) \(1806336\) \(1.5108\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 302330.b1 has rank \(0\).

Complex multiplication

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

Modular form 302330.2.a.b

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