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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 8880.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
8880.d1 | 8880j1 | \([0, -1, 0, -2936, -3891600]\) | \(-683565019129/1597684769280\) | \(-6544116814970880\) | \([]\) | \(51840\) | \(1.7137\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 8880.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 8880.d do not have complex multiplication.Modular form 8880.2.a.d
sage: E.q_eigenform(10)