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SageMath
E = EllipticCurve("cj1")
E.isogeny_class()
Elliptic curves in class 450840.cj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
450840.cj1 | 450840cj1 | \([0, 1, 0, -49600, 12279248]\) | \(-45601559816836/194308115625\) | \(-57502766505600000\) | \([]\) | \(3548160\) | \(1.9009\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 450840.cj1 has rank \(1\).
Complex multiplication
The elliptic curves in class 450840.cj do not have complex multiplication.Modular form 450840.2.a.cj
sage: E.q_eigenform(10)