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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 331056o
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 331056.o1 | 331056o1 | \([0, 0, 0, -955779, -3390847614]\) | \(-492851793699/25067266048\) | \(-4911190648815800549376\) | \([]\) | \(17971200\) | \(2.8421\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 331056o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 331056o do not have complex multiplication.Modular form 331056.2.a.o
sage: E.q_eigenform(10)