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SageMath
E = EllipticCurve("ea1")
E.isogeny_class()
Elliptic curves in class 92400ea
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
92400.cb1 | 92400ea1 | \([0, -1, 0, -52533, -14962563]\) | \(-250523582464/1369738755\) | \(-87663280320000000\) | \([]\) | \(691200\) | \(1.9351\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 92400ea1 has rank \(1\).
Complex multiplication
The elliptic curves in class 92400ea do not have complex multiplication.Modular form 92400.2.a.ea
sage: E.q_eigenform(10)