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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 20280.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
20280.y1 | 20280x1 | \([0, 1, 0, -17801, 1395915]\) | \(-504871936/394875\) | \(-487932468192000\) | \([]\) | \(80640\) | \(1.5171\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 20280.y1 has rank \(1\).
Complex multiplication
The elliptic curves in class 20280.y do not have complex multiplication.Modular form 20280.2.a.y
sage: E.q_eigenform(10)