Properties

Label 930b
Number of curves $1$
Conductor $930$
CM no
Rank $0$

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

Elliptic curves in class 930b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
930.a1 930b1 \([1, 1, 0, -203, -1347]\) \(-932288503609/148800000\) \(-148800000\) \([]\) \(360\) \(0.29627\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 930b1 has rank \(0\).

Complex multiplication

The elliptic curves in class 930b do not have complex multiplication.

Modular form 930.2.a.b

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} - q^{5} + q^{6} - 3 q^{7} - q^{8} + q^{9} + q^{10} + 3 q^{11} - q^{12} - 2 q^{13} + 3 q^{14} + q^{15} + q^{16} - 4 q^{17} - q^{18} - 3 q^{19} + O(q^{20})\)  Toggle raw display