Properties

Label 30446a
Number of curves $1$
Conductor $30446$
CM no
Rank $3$

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 30446a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
30446.c1 30446a1 \([1, 1, 0, -39, -59]\) \(6826561273/3166384\) \(3166384\) \([]\) \(9856\) \(-0.058079\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 30446a1 has rank \(3\).

Complex multiplication

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

Modular form 30446.2.a.a

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