Properties

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

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Show commands: SageMath
E = EllipticCurve("u1")
 
E.isogeny_class()
 

Elliptic curves in class 212940.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
212940.u1 212940x1 \([0, 0, 0, -316368, -68632083]\) \(-368050176/875\) \(-8325347738526000\) \([]\) \(2280096\) \(1.9346\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 212940.u1 has rank \(0\).

Complex multiplication

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

Modular form 212940.2.a.u

sage: E.q_eigenform(10)
 
\(q - q^{5} + q^{7} - 4 q^{11} + 7 q^{17} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display