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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 88445y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
88445.bm1 | 88445y1 | \([0, 0, 1, -123823, 28819803]\) | \(-110592/125\) | \(-237308874105345875\) | \([]\) | \(2201472\) | \(2.0284\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 88445y1 has rank \(1\).
Complex multiplication
The elliptic curves in class 88445y do not have complex multiplication.Modular form 88445.2.a.y
sage: E.q_eigenform(10)