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SageMath
E = EllipticCurve("cj1")
E.isogeny_class()
Elliptic curves in class 274890.cj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
274890.cj1 | 274890cj1 | \([1, 0, 1, -3799, -90604]\) | \(-51520374361/117810\) | \(-13860228690\) | \([]\) | \(414720\) | \(0.82750\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 274890.cj1 has rank \(1\).
Complex multiplication
The elliptic curves in class 274890.cj do not have complex multiplication.Modular form 274890.2.a.cj
sage: E.q_eigenform(10)