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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 273273k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
273273.k1 | 273273k1 | \([1, 1, 1, 401456, -47465566]\) | \(74559407/53361\) | \(-5121050025729006369\) | \([]\) | \(5511168\) | \(2.2784\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 273273k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 273273k do not have complex multiplication.Modular form 273273.2.a.k
sage: E.q_eigenform(10)