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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 35322o
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 35322.m1 | 35322o1 | \([1, 0, 1, 141490663, -1175695640836]\) | \(526646344431378309263/1308681048044740608\) | \(-778434007127733165034119168\) | \([]\) | \(16511040\) | \(3.8438\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 35322o1 has rank \(0\).
Complex multiplication
The elliptic curves in class 35322o do not have complex multiplication.Modular form 35322.2.a.o
sage: E.q_eigenform(10)