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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 10051.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
10051.d1 | 10051a1 | \([0, -1, 1, 9875, -1299190]\) | \(719323136/5316979\) | \(-787103713059331\) | \([]\) | \(42240\) | \(1.5398\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 10051.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 10051.d do not have complex multiplication.Modular form 10051.2.a.d
sage: E.q_eigenform(10)