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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 26775.w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
26775.w1 | 26775bc1 | \([0, 0, 1, -1200, 59031]\) | \(-16777216/122451\) | \(-1394793421875\) | \([]\) | \(35840\) | \(1.0134\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 26775.w1 has rank \(1\).
Complex multiplication
The elliptic curves in class 26775.w do not have complex multiplication.Modular form 26775.2.a.w
sage: E.q_eigenform(10)