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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 102550d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
102550.k1 | 102550d1 | \([1, -1, 0, 1708, 17616]\) | \(35255286639/29403136\) | \(-459424000000\) | \([]\) | \(172480\) | \(0.92548\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 102550d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 102550d do not have complex multiplication.Modular form 102550.2.a.d
sage: E.q_eigenform(10)