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SageMath
E = EllipticCurve("cj1")
E.isogeny_class()
Elliptic curves in class 304200.cj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
304200.cj1 | 304200cj1 | \([0, 0, 0, -10140, 395460]\) | \(-138240\) | \(-834072595200\) | \([]\) | \(449280\) | \(1.1195\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 304200.cj1 has rank \(0\).
Complex multiplication
The elliptic curves in class 304200.cj do not have complex multiplication.Modular form 304200.2.a.cj
sage: E.q_eigenform(10)