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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 9800.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9800.a1 | 9800bm1 | \([0, 0, 0, -504700, -142173500]\) | \(-30211716096/1071875\) | \(-504420087500000000\) | \([]\) | \(276480\) | \(2.1691\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9800.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 9800.a do not have complex multiplication.Modular form 9800.2.a.a
sage: E.q_eigenform(10)