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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 4356d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4356.i1 | 4356d1 | \([0, 0, 0, 3993, 907742]\) | \(176/9\) | \(-360040606269696\) | \([]\) | \(12672\) | \(1.4728\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4356d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 4356d do not have complex multiplication.Modular form 4356.2.a.d
sage: E.q_eigenform(10)