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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 174845o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
174845.o1 | 174845o1 | \([1, -1, 1, -3378, 164662]\) | \(-1459161/3125\) | \(-9127018278125\) | \([]\) | \(622080\) | \(1.1758\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 174845o1 has rank \(0\).
Complex multiplication
The elliptic curves in class 174845o do not have complex multiplication.Modular form 174845.2.a.o
sage: E.q_eigenform(10)