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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 380926o
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 380926.o1 | 380926o1 | \([1, -1, 0, -3061382, -3704425516]\) | \(-570375/736\) | \(-4094432327641815516448\) | \([]\) | \(22713600\) | \(2.8401\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 380926o1 has rank \(0\).
Complex multiplication
The elliptic curves in class 380926o do not have complex multiplication.Modular form 380926.2.a.o
sage: E.q_eigenform(10)