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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 372232o
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 372232.o1 | 372232o1 | \([0, 0, 0, 7058825, -182840739013]\) | \(100718081964000000/37453512751940327\) | \(-14464587973477432429521008\) | \([]\) | \(126904320\) | \(3.5069\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 372232o1 has rank \(0\).
Complex multiplication
The elliptic curves in class 372232o do not have complex multiplication.Modular form 372232.2.a.o
sage: E.q_eigenform(10)