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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 1850.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1850.d1 | 1850e1 | \([1, -1, 0, -242, 1916]\) | \(-804357/296\) | \(-578125000\) | \([]\) | \(720\) | \(0.39154\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1850.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 1850.d do not have complex multiplication.Modular form 1850.2.a.d
sage: E.q_eigenform(10)