Properties

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

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Show commands: SageMath
E = EllipticCurve("bb1")
 
E.isogeny_class()
 

Elliptic curves in class 12600.bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
12600.bb1 12600bd1 \([0, 0, 0, -2775, 56275]\) \(-324179200/63\) \(-459270000\) \([]\) \(10752\) \(0.66205\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 12600.bb1 has rank \(1\).

Complex multiplication

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

Modular form 12600.2.a.bb

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