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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 4900.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4900.o1 | 4900e1 | \([0, 1, 0, 22867, 318863]\) | \(8192/5\) | \(-807072140000000\) | \([]\) | \(16128\) | \(1.5496\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4900.o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 4900.o do not have complex multiplication.Modular form 4900.2.a.o
sage: E.q_eigenform(10)