Properties

Label 12600w
Number of curves $1$
Conductor $12600$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("w1")
 
E.isogeny_class()
 

Elliptic curves in class 12600w

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
12600.cn1 12600w1 \([0, 0, 0, -300, -15500]\) \(-1024/35\) \(-102060000000\) \([]\) \(11520\) \(0.79269\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 12600w1 has rank \(1\).

Complex multiplication

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

Modular form 12600.2.a.w

sage: E.q_eigenform(10)
 
\(q + q^{7} + 5 q^{11} - q^{13} + 3 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display