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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 211600.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
211600.a1 | 211600a1 | \([0, 0, 0, -5108875, -4452023750]\) | \(-17423038164465/33554432\) | \(-28400471244800000000\) | \([]\) | \(16848000\) | \(2.6219\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 211600.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 211600.a do not have complex multiplication.Modular form 211600.2.a.a
sage: E.q_eigenform(10)