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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 9282.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9282.d1 | 9282f1 | \([1, 1, 0, -1585, 24661]\) | \(-440797954857625/21898985472\) | \(-21898985472\) | \([]\) | \(8208\) | \(0.74535\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9282.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 9282.d do not have complex multiplication.Modular form 9282.2.a.d
sage: E.q_eigenform(10)