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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 91200.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
91200.d1 | 91200fo1 | \([0, -1, 0, -5833, 169537]\) | \(2195200/57\) | \(570000000000\) | \([]\) | \(207360\) | \(1.0376\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 91200.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 91200.d do not have complex multiplication.Modular form 91200.2.a.d
sage: E.q_eigenform(10)