Properties

Label 30446.d
Number of curves $1$
Conductor $30446$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 30446.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
30446.d1 30446e1 \([1, 1, 0, -324, 2128]\) \(-3779648905033/25331072\) \(-25331072\) \([]\) \(9072\) \(0.25582\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 30446.d1 has rank \(1\).

Complex multiplication

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

Modular form 30446.2.a.d

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