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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 247962.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
247962.n1 | 247962n1 | \([1, 0, 1, -12728867, 19681202414]\) | \(-1923324734457881/298180952784\) | \(-35360646002506780317648\) | \([]\) | \(28148736\) | \(3.0555\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 247962.n1 has rank \(0\).
Complex multiplication
The elliptic curves in class 247962.n do not have complex multiplication.Modular form 247962.2.a.n
sage: E.q_eigenform(10)