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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 58443o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
58443.c1 | 58443o1 | \([0, 1, 1, 202, -808]\) | \(512000/483\) | \(-855663963\) | \([]\) | \(28600\) | \(0.40112\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 58443o1 has rank \(0\).
Complex multiplication
The elliptic curves in class 58443o do not have complex multiplication.Modular form 58443.2.a.o
sage: E.q_eigenform(10)