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SageMath
E = EllipticCurve("ja1")
E.isogeny_class()
Elliptic curves in class 284592ja
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
284592.ja1 | 284592ja1 | \([0, 1, 0, -956545, 302480891]\) | \(123904/21\) | \(16404928871563271424\) | \([]\) | \(5677056\) | \(2.4078\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 284592ja1 has rank \(0\).
Complex multiplication
The elliptic curves in class 284592ja do not have complex multiplication.Modular form 284592.2.a.ja
sage: E.q_eigenform(10)