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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 20216.k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
20216.k1 | 20216h1 | \([0, 1, 0, -43440, 994301]\) | \(92416/49\) | \(4806755946115984\) | \([]\) | \(54720\) | \(1.7005\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 20216.k1 has rank \(1\).
Complex multiplication
The elliptic curves in class 20216.k do not have complex multiplication.Modular form 20216.2.a.k
sage: E.q_eigenform(10)