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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 67600k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
67600.bd1 | 67600k1 | \([0, -1, 0, -1408, -313]\) | \(43264/25\) | \(178506250000\) | \([]\) | \(55296\) | \(0.84849\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 67600k1 has rank \(1\).
Complex multiplication
The elliptic curves in class 67600k do not have complex multiplication.Modular form 67600.2.a.k
sage: E.q_eigenform(10)