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SageMath
E = EllipticCurve("ea1")
E.isogeny_class()
Elliptic curves in class 28224.ea
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
28224.ea1 | 28224c1 | \([0, 0, 0, -5292, 190512]\) | \(-2646\) | \(-6194316312576\) | \([]\) | \(46080\) | \(1.1643\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 28224.ea1 has rank \(1\).
Complex multiplication
The elliptic curves in class 28224.ea do not have complex multiplication.Modular form 28224.2.a.ea
sage: E.q_eigenform(10)