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SageMath
E = EllipticCurve("ck1")
E.isogeny_class()
Elliptic curves in class 28224.ck
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
28224.ck1 | 28224fm1 | \([0, 0, 0, 5503092, -461721904]\) | \(2731405432/1594323\) | \(-10758065268127507513344\) | \([]\) | \(1397760\) | \(2.9169\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 28224.ck1 has rank \(0\).
Complex multiplication
The elliptic curves in class 28224.ck do not have complex multiplication.Modular form 28224.2.a.ck
sage: E.q_eigenform(10)