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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 272976e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
272976.e1 | 272976e1 | \([0, -1, 0, -23877, 546669]\) | \(207474688/102789\) | \(745869244944384\) | \([]\) | \(1332800\) | \(1.5468\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 272976e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 272976e do not have complex multiplication.Modular form 272976.2.a.e
sage: E.q_eigenform(10)