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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 424830y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
424830.y1 | 424830y1 | \([1, 1, 0, -25792533, -50429153907]\) | \(-5551601340851881/12960\) | \(-4429885005332640\) | \([]\) | \(25704000\) | \(2.6714\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 424830y1 has rank \(1\).
Complex multiplication
The elliptic curves in class 424830y do not have complex multiplication.Modular form 424830.2.a.y
sage: E.q_eigenform(10)