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SageMath
E = EllipticCurve("cy1")
E.isogeny_class()
Elliptic curves in class 471510cy
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
471510.cy1 | 471510cy1 | \([1, -1, 1, -35060603, -80312350413]\) | \(-1354547383894636849/8173828125000\) | \(-28761606718330078125000\) | \([]\) | \(71884800\) | \(3.1490\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 471510cy1 has rank \(0\).
Complex multiplication
The elliptic curves in class 471510cy do not have complex multiplication.Modular form 471510.2.a.cy
sage: E.q_eigenform(10)