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SageMath
E = EllipticCurve("by1")
E.isogeny_class()
Elliptic curves in class 190608by
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
190608.bc1 | 190608by1 | \([0, -1, 0, -861960, -307732752]\) | \(47898112923787681/2052864\) | \(3035479670784\) | \([]\) | \(1161216\) | \(1.8792\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 190608by1 has rank \(0\).
Complex multiplication
The elliptic curves in class 190608by do not have complex multiplication.Modular form 190608.2.a.by
sage: E.q_eigenform(10)