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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 38025w
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 38025.x1 | 38025w1 | \([1, -1, 1, -463430, 15177322]\) | \(1755\) | \(6271885852126171875\) | \([]\) | \(561600\) | \(2.2967\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 38025w1 has rank \(0\).
Complex multiplication
The elliptic curves in class 38025w do not have complex multiplication.Modular form 38025.2.a.w
sage: E.q_eigenform(10)