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SageMath
E = EllipticCurve("el1")
E.isogeny_class()
Elliptic curves in class 29400.el
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
29400.el1 | 29400ee1 | \([0, 1, 0, 992, 27488]\) | \(68782/243\) | \(-381024000000\) | \([]\) | \(33600\) | \(0.90514\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 29400.el1 has rank \(0\).
Complex multiplication
The elliptic curves in class 29400.el do not have complex multiplication.Modular form 29400.2.a.el
sage: E.q_eigenform(10)