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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 131784d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
131784.o1 | 131784d1 | \([0, 1, 0, 15799, 551883]\) | \(70575104/61731\) | \(-381449285616384\) | \([]\) | \(496128\) | \(1.4854\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 131784d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 131784d do not have complex multiplication.Modular form 131784.2.a.d
sage: E.q_eigenform(10)