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SageMath
E = EllipticCurve("fk1")
E.isogeny_class()
Elliptic curves in class 212160fk
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
212160.ei1 | 212160fk1 | \([0, 1, 0, -565761, -312908961]\) | \(-152796558778456322/233895263671875\) | \(-30657120000000000000\) | \([]\) | \(4792320\) | \(2.4306\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 212160fk1 has rank \(1\).
Complex multiplication
The elliptic curves in class 212160fk do not have complex multiplication.Modular form 212160.2.a.fk
sage: E.q_eigenform(10)