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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 33120o
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 33120.x1 | 33120o1 | \([0, 0, 0, 888, -2563216]\) | \(25934336/950546875\) | \(-2838317760000000\) | \([]\) | \(96768\) | \(1.6441\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 33120o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 33120o do not have complex multiplication.Modular form 33120.2.a.o
sage: E.q_eigenform(10)