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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 50400o
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 50400.bz1 | 50400o1 | \([0, 0, 0, -75, 450]\) | \(-5400/7\) | \(-60480000\) | \([]\) | \(11520\) | \(0.18619\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 50400o1 has rank \(0\).
Complex multiplication
The elliptic curves in class 50400o do not have complex multiplication.Modular form 50400.2.a.o
sage: E.q_eigenform(10)