Properties

Label 30056g
Number of curves $1$
Conductor $30056$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 30056g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
30056.c1 30056g1 \([0, -1, 0, -4720, -129076]\) \(-235298/13\) \(-642638637056\) \([]\) \(40320\) \(1.0236\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 30056g1 has rank \(0\).

Complex multiplication

The elliptic curves in class 30056g do not have complex multiplication.

Modular form 30056.2.a.g

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} - 5 q^{7} - 2 q^{9} + 2 q^{11} - q^{13} - q^{15} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display