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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 193200.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
193200.a1 | 193200de1 | \([0, -1, 0, 2267, -19763]\) | \(503091200/352107\) | \(-901393920000\) | \([]\) | \(268800\) | \(0.98245\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 193200.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 193200.a do not have complex multiplication.Modular form 193200.2.a.a
sage: E.q_eigenform(10)