Properties

Label 30960.bh
Number of curves $1$
Conductor $30960$
CM no
Rank $1$

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Show commands: SageMath
sage: E = EllipticCurve("bh1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 30960.bh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
30960.bh1 30960by1 \([0, 0, 0, -2907, 60426]\) \(-909853209/1720\) \(-5135892480\) \([]\) \(18432\) \(0.75334\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 30960.bh1 has rank \(1\).

Complex multiplication

The elliptic curves in class 30960.bh do not have complex multiplication.

Modular form 30960.2.a.bh

sage: E.q_eigenform(10)
 
\(q + q^{5} - q^{7} - 4q^{11} - q^{13} - q^{19} + O(q^{20})\)  Toggle raw display