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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 67158o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
67158.f1 | 67158o1 | \([1, -1, 0, 2520, -239648]\) | \(2427173723519/35259203616\) | \(-25703959436064\) | \([]\) | \(147200\) | \(1.2538\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 67158o1 has rank \(0\).
Complex multiplication
The elliptic curves in class 67158o do not have complex multiplication.Modular form 67158.2.a.o
sage: E.q_eigenform(10)