Properties

Label 30912bf
Number of curves $1$
Conductor $30912$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bf1")
 
E.isogeny_class()
 

Elliptic curves in class 30912bf

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
30912.l1 30912bf1 \([0, -1, 0, -39361, 3029089]\) \(-25727239787761/101406816\) \(-26583188373504\) \([]\) \(69120\) \(1.4335\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 30912bf1 has rank \(0\).

Complex multiplication

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

Modular form 30912.2.a.bf

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