Properties

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

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 212940.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
212940.p1 212940bn1 \([0, 0, 0, -481143, 132008942]\) \(-80915536/2625\) \(-399616691449248000\) \([]\) \(2875392\) \(2.1528\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 212940.p1 has rank \(1\).

Complex multiplication

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

Modular form 212940.2.a.p

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