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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 317900o
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 317900.o1 | 317900o1 | \([0, -1, 0, -1310133, 592817137]\) | \(-8912896/275\) | \(-7673333185100000000\) | \([]\) | \(5992704\) | \(2.4008\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 317900o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 317900o do not have complex multiplication.Modular form 317900.2.a.o
sage: E.q_eigenform(10)