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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 221760.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
221760.y1 | 221760fk1 | \([0, 0, 0, -4728, 404462]\) | \(-250523582464/1369738755\) | \(-63906531353280\) | \([]\) | \(460800\) | \(1.3331\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 221760.y1 has rank \(1\).
Complex multiplication
The elliptic curves in class 221760.y do not have complex multiplication.Modular form 221760.2.a.y
sage: E.q_eigenform(10)