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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 21184.k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
21184.k1 | 21184f1 | \([0, -1, 0, 11, 21]\) | \(131072/331\) | \(-338944\) | \([]\) | \(3456\) | \(-0.25507\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 21184.k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 21184.k do not have complex multiplication.Modular form 21184.2.a.k
sage: E.q_eigenform(10)