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SageMath
E = EllipticCurve("ck1")
E.isogeny_class()
Elliptic curves in class 54450ck
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
54450.t1 | 54450ck1 | \([1, -1, 0, -176968512, 906167320416]\) | \(1296633753003985/17006112\) | \(8038951777856039911200\) | \([]\) | \(10644480\) | \(3.3474\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 54450ck1 has rank \(1\).
Complex multiplication
The elliptic curves in class 54450ck do not have complex multiplication.Modular form 54450.2.a.ck
sage: E.q_eigenform(10)