Properties

Label 930.m
Number of curves $1$
Conductor $930$
CM no
Rank $0$

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

Elliptic curves in class 930.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
930.m1 930l1 \([1, 1, 1, -23051, 1344449]\) \(-1354547383894636849/8173828125000\) \(-8173828125000\) \([]\) \(4680\) \(1.3172\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 930.m1 has rank \(0\).

Complex multiplication

The elliptic curves in class 930.m do not have complex multiplication.

Modular form 930.2.a.m

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