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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 5850d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5850.f1 | 5850d1 | \([1, -1, 0, -312, -5824]\) | \(-6838155/26624\) | \(-13101004800\) | \([]\) | \(3168\) | \(0.62680\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5850d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 5850d do not have complex multiplication.Modular form 5850.2.a.d
sage: E.q_eigenform(10)