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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 429429j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
429429.j1 | 429429j1 | \([0, -1, 1, 48, -232]\) | \(585728/1323\) | \(-27054027\) | \([]\) | \(155520\) | \(0.11022\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 429429j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 429429j do not have complex multiplication.Modular form 429429.2.a.j
sage: E.q_eigenform(10)