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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 1400j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1400.k1 | 1400j1 | \([0, 1, 0, -33, 563]\) | \(-1024/35\) | \(-140000000\) | \([]\) | \(384\) | \(0.24339\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1400j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 1400j do not have complex multiplication.Modular form 1400.2.a.j
sage: E.q_eigenform(10)