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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 50430o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
50430.n1 | 50430o1 | \([1, 0, 1, -20179313, 34892243588]\) | \(-540598825531316542089721/60750000000000000\) | \(-102120750000000000000\) | \([]\) | \(5569200\) | \(2.8676\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 50430o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 50430o do not have complex multiplication.Modular form 50430.2.a.o
sage: E.q_eigenform(10)