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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 254100.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
254100.j1 | 254100j1 | \([0, -1, 0, -27958, -1807463]\) | \(-639178496/7203\) | \(-27236343750000\) | \([]\) | \(737280\) | \(1.3923\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 254100.j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 254100.j do not have complex multiplication.Modular form 254100.2.a.j
sage: E.q_eigenform(10)