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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 140790.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
140790.n1 | 140790cm1 | \([1, 1, 0, -1631727, 820763091]\) | \(-78366530161/2193750\) | \(-13450026603050943750\) | \([]\) | \(4596480\) | \(2.4509\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 140790.n1 has rank \(0\).
Complex multiplication
The elliptic curves in class 140790.n do not have complex multiplication.Modular form 140790.2.a.n
sage: E.q_eigenform(10)