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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 247962j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
247962.j1 | 247962j1 | \([1, 1, 0, -44044, 3987808]\) | \(-1923324734457881/298180952784\) | \(-1464963021027792\) | \([]\) | \(1655808\) | \(1.6389\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 247962j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 247962j do not have complex multiplication.Modular form 247962.2.a.j
sage: E.q_eigenform(10)