Properties

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

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Show commands: SageMath
E = EllipticCurve("m1")
 
E.isogeny_class()
 

Elliptic curves in class 30446.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
30446.m1 30446l1 \([1, 1, 1, -13, -161]\) \(-244140625/10290748\) \(-10290748\) \([]\) \(7584\) \(0.025661\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 30446.m1 has rank \(0\).

Complex multiplication

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

Modular form 30446.2.a.m

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