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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 55473o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
55473.s1 | 55473o1 | \([0, 1, 1, 14, 7]\) | \(167936/99\) | \(-166419\) | \([]\) | \(5712\) | \(-0.30877\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 55473o1 has rank \(0\).
Complex multiplication
The elliptic curves in class 55473o do not have complex multiplication.Modular form 55473.2.a.o
sage: E.q_eigenform(10)