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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 200400y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
200400.b1 | 200400y1 | \([0, -1, 0, -4848, 902592]\) | \(-24616775429/670674672\) | \(-343385432064000\) | \([]\) | \(1124352\) | \(1.4697\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 200400y1 has rank \(2\).
Complex multiplication
The elliptic curves in class 200400y do not have complex multiplication.Modular form 200400.2.a.y
sage: E.q_eigenform(10)