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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 97498d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
97498.f1 | 97498d1 | \([1, -1, 0, -1996, 50036]\) | \(-185193/116\) | \(-551012091956\) | \([]\) | \(281600\) | \(0.95456\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 97498d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 97498d do not have complex multiplication.Modular form 97498.2.a.d
sage: E.q_eigenform(10)