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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 4998.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4998.o1 | 4998t1 | \([1, 0, 1, -166234, 37434380]\) | \(-12589171852447/7727480832\) | \(-311831724594561024\) | \([]\) | \(76608\) | \(2.0587\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4998.o1 has rank \(0\).
Complex multiplication
The elliptic curves in class 4998.o do not have complex multiplication.Modular form 4998.2.a.o
sage: E.q_eigenform(10)