Properties

Label 30767.d
Number of curves $1$
Conductor $30767$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 30767.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
30767.d1 30767b1 \([0, 1, 1, -4218, -106859]\) \(8301305492992000/40950877\) \(40950877\) \([]\) \(21504\) \(0.66010\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 30767.d1 has rank \(0\).

Complex multiplication

The elliptic curves in class 30767.d do not have complex multiplication.

Modular form 30767.2.a.d

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