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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 4732.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4732.d1 | 4732d1 | \([0, 0, 0, -2327, 43342]\) | \(-32209663824/117649\) | \(-5089966336\) | \([]\) | \(2592\) | \(0.72339\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4732.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 4732.d do not have complex multiplication.Modular form 4732.2.a.d
sage: E.q_eigenform(10)