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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 28611k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
28611.n1 | 28611k1 | \([0, 0, 1, -29478, 3779325]\) | \(-557056/891\) | \(-4531026512469699\) | \([]\) | \(156672\) | \(1.6953\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 28611k1 has rank \(1\).
Complex multiplication
The elliptic curves in class 28611k do not have complex multiplication.Modular form 28611.2.a.k
sage: E.q_eigenform(10)