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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 26026.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
26026.j1 | 26026p1 | \([1, -1, 1, -17946, 936537]\) | \(-22378481056737/189314048\) | \(-5406998524928\) | \([]\) | \(134400\) | \(1.2689\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 26026.j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 26026.j do not have complex multiplication.Modular form 26026.2.a.j
sage: E.q_eigenform(10)