Properties

Label 12600.bh
Number of curves $1$
Conductor $12600$
CM no
Rank $0$

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

Elliptic curves in class 12600.bh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
12600.bh1 12600f1 \([0, 0, 0, -211875, -49381250]\) \(-1947910950/823543\) \(-444713220000000000\) \([]\) \(147840\) \(2.0942\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 12600.bh1 has rank \(0\).

Complex multiplication

The elliptic curves in class 12600.bh do not have complex multiplication.

Modular form 12600.2.a.bh

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