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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 450800y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
450800.y1 | 450800y1 | \([0, 1, 0, 4492, -137012]\) | \(51131696/71875\) | \(-14087500000000\) | \([]\) | \(783360\) | \(1.2086\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 450800y1 has rank \(1\).
Complex multiplication
The elliptic curves in class 450800y do not have complex multiplication.Modular form 450800.2.a.y
sage: E.q_eigenform(10)