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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 57498o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
57498.n1 | 57498o1 | \([1, 1, 1, 71844, -36892995]\) | \(15983964359/238793856\) | \(-612679702646143104\) | \([]\) | \(766080\) | \(2.0937\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 57498o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 57498o do not have complex multiplication.Modular form 57498.2.a.o
sage: E.q_eigenform(10)