Label 212940.s
Number of curves $1$
Conductor $212940$
CM no
Rank $0$

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Show commands for: SageMath
sage: E = EllipticCurve("s1")
sage: E.isogeny_class()

Elliptic curves in class 212940.s

sage: E.isogeny_class().curves
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
212940.s1 212940w1 [0, 0, 0, 48672, -12575628] [] 1884960 \(\Gamma_0(N)\)-optimal


sage: E.rank()

The elliptic curve 212940.s1 has rank \(0\).

Complex multiplication

The elliptic curves in class 212940.s do not have complex multiplication.

Modular form 212940.2.a.s

sage: E.q_eigenform(10)
\( q - q^{5} + q^{7} - 5q^{11} + q^{17} - 6q^{19} + O(q^{20}) \)