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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 118354o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
118354.n1 | 118354o1 | \([1, 1, 1, 3489630, 10948313263]\) | \(111416568869159/1291777212416\) | \(-54487852164990290886656\) | \([]\) | \(8017920\) | \(3.0436\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 118354o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 118354o do not have complex multiplication.Modular form 118354.2.a.o
sage: E.q_eigenform(10)