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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 26640x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
26640.ba1 | 26640x1 | \([0, 0, 0, 48, 176]\) | \(110592/185\) | \(-20459520\) | \([]\) | \(5760\) | \(0.087855\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 26640x1 has rank \(1\).
Complex multiplication
The elliptic curves in class 26640x do not have complex multiplication.Modular form 26640.2.a.x
sage: E.q_eigenform(10)