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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 50430.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
50430.i1 | 50430i1 | \([1, 1, 0, -33921424347, 2404910084618781]\) | \(-540598825531316542089721/60750000000000000\) | \(-485084207669100750000000000000\) | \([]\) | \(228337200\) | \(4.7244\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 50430.i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 50430.i do not have complex multiplication.Modular form 50430.2.a.i
sage: E.q_eigenform(10)