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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 123210.x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
123210.x1 | 123210q1 | \([1, -1, 0, -6581724, 6423399530]\) | \(456076467/6250\) | \(432100831822044018750\) | \([]\) | \(10869120\) | \(2.7656\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 123210.x1 has rank \(0\).
Complex multiplication
The elliptic curves in class 123210.x do not have complex multiplication.Modular form 123210.2.a.x
sage: E.q_eigenform(10)