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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 426888d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 426888.d1 | 426888d1 | \([0, 0, 0, -30492, -2049740]\) | \(-5225472\) | \(-600006451968\) | \([]\) | \(1382400\) | \(1.2608\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 426888d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 426888d do not have complex multiplication.Modular form 426888.2.a.d
sage: E.q_eigenform(10)