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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 273800k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
273800.k1 | 273800k1 | \([0, 1, 0, -319433, 62740763]\) | \(351232/37\) | \(379727508532000000\) | \([]\) | \(2801664\) | \(2.1079\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 273800k1 has rank \(1\).
Complex multiplication
The elliptic curves in class 273800k do not have complex multiplication.Modular form 273800.2.a.k
sage: E.q_eigenform(10)