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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 43758.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
43758.d1 | 43758i1 | \([1, -1, 0, 2025, -26573]\) | \(1259362112399/1131450606\) | \(-824827491774\) | \([]\) | \(58368\) | \(0.97392\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 43758.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 43758.d do not have complex multiplication.Modular form 43758.2.a.d
sage: E.q_eigenform(10)