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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 257600d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
257600.d1 | 257600d1 | \([0, 0, 0, 5300, -5000]\) | \(1029037824/596183\) | \(-9538928000000\) | \([]\) | \(860160\) | \(1.1800\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 257600d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 257600d do not have complex multiplication.Modular form 257600.2.a.d
sage: E.q_eigenform(10)