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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 344800d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
344800.d1 | 344800d1 | \([0, 1, 0, -3419758, -2586888012]\) | \(-4422928937567667904/328826904296875\) | \(-328826904296875000000\) | \([]\) | \(12063744\) | \(2.6856\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 344800d1 has rank \(2\).
Complex multiplication
The elliptic curves in class 344800d do not have complex multiplication.Modular form 344800.2.a.d
sage: E.q_eigenform(10)