Properties

Label 30912bo
Number of curves $1$
Conductor $30912$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bo1")
 
E.isogeny_class()
 

Elliptic curves in class 30912bo

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
30912.j1 30912bo1 \([0, -1, 0, -19, -9527]\) \(-12487168/613472307\) \(-39262227648\) \([]\) \(21120\) \(0.71169\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 30912bo1 has rank \(1\).

Complex multiplication

The elliptic curves in class 30912bo do not have complex multiplication.

Modular form 30912.2.a.bo

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