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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 202800.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
202800.a1 | 202800io1 | \([0, -1, 0, -39433, -3591563]\) | \(-8780800/2187\) | \(-1688997005280000\) | \([]\) | \(1507968\) | \(1.6399\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 202800.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 202800.a do not have complex multiplication.Modular form 202800.2.a.a
sage: E.q_eigenform(10)