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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 21168.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
21168.v1 | 21168g1 | \([0, 0, 0, 1029, -14406]\) | \(756\) | \(-159385218048\) | \([]\) | \(16128\) | \(0.83539\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 21168.v1 has rank \(1\).
Complex multiplication
The elliptic curves in class 21168.v do not have complex multiplication.Modular form 21168.2.a.v
sage: E.q_eigenform(10)