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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 126350.x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
126350.x1 | 126350a1 | \([1, -1, 0, 23578, 380996]\) | \(179685/112\) | \(-903525553781200\) | \([]\) | \(437760\) | \(1.5589\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 126350.x1 has rank \(1\).
Complex multiplication
The elliptic curves in class 126350.x do not have complex multiplication.Modular form 126350.2.a.x
sage: E.q_eigenform(10)