Properties

Label 30446b
Number of curves $1$
Conductor $30446$
CM no
Rank $0$

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

Elliptic curves in class 30446b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
30446.g1 30446b1 \([1, 0, 1, 101, 4]\) \(115572468311/66889862\) \(-66889862\) \([]\) \(9696\) \(0.19101\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 30446b1 has rank \(0\).

Complex multiplication

The elliptic curves in class 30446b do not have complex multiplication.

Modular form 30446.2.a.b

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