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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 207368.x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
207368.x1 | 207368bc1 | \([0, 1, 0, -423376, 98317393]\) | \(12544\) | \(669063593699381776\) | \([]\) | \(1947792\) | \(2.1638\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 207368.x1 has rank \(1\).
Complex multiplication
The elliptic curves in class 207368.x do not have complex multiplication.Modular form 207368.2.a.x
sage: E.q_eigenform(10)