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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 28175v
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 28175.s1 | 28175v1 | \([0, 1, 1, -16823, -845561]\) | \(-35806478336/3703\) | \(-54456780875\) | \([]\) | \(26112\) | \(1.0926\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 28175v1 has rank \(1\).
Complex multiplication
The elliptic curves in class 28175v do not have complex multiplication.Modular form 28175.2.a.v
sage: E.q_eigenform(10)