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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 3432.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3432.d1 | 3432b1 | \([0, 1, 0, 168, -144]\) | \(254527054/155727\) | \(-318928896\) | \([]\) | \(1728\) | \(0.32089\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3432.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 3432.d do not have complex multiplication.Modular form 3432.2.a.d
sage: E.q_eigenform(10)