Properties

Label 30446c
Number of curves $1$
Conductor $30446$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 30446c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
30446.e1 30446c1 \([1, 0, 1, -39, 78]\) \(6321363049/791596\) \(791596\) \([]\) \(4480\) \(-0.13864\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 30446c1 has rank \(1\).

Complex multiplication

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

Modular form 30446.2.a.c

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