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SageMath
E = EllipticCurve("oe1")
E.isogeny_class()
Elliptic curves in class 475200.oe
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
475200.oe1 | 475200oe1 | \([0, 0, 0, -8100, -290250]\) | \(-2985984/121\) | \(-2381643000000\) | \([]\) | \(737280\) | \(1.1427\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 475200.oe1 has rank \(1\).
Complex multiplication
The elliptic curves in class 475200.oe do not have complex multiplication.Modular form 475200.2.a.oe
sage: E.q_eigenform(10)