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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 63175o
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 63175.l1 | 63175o1 | \([0, 1, 1, -571583, -154795881]\) | \(622592/49\) | \(1625380056658203125\) | \([]\) | \(984960\) | \(2.2382\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 63175o1 has rank \(0\).
Complex multiplication
The elliptic curves in class 63175o do not have complex multiplication.Modular form 63175.2.a.o
sage: E.q_eigenform(10)