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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 8032.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
8032.d1 | 8032d1 | \([0, 0, 0, -53752, 4796688]\) | \(-4193219998665216/15813251\) | \(-64771076096\) | \([]\) | \(15840\) | \(1.2894\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 8032.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 8032.d do not have complex multiplication.Modular form 8032.2.a.d
sage: E.q_eigenform(10)