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SageMath
E = EllipticCurve("cm1")
E.isogeny_class()
Elliptic curves in class 96600.cm
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 96600.cm1 | 96600ca1 | \([0, 1, 0, -9808, -534112]\) | \(-3261064466/1917027\) | \(-61344864000000\) | \([]\) | \(259200\) | \(1.3482\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 96600.cm1 has rank \(0\).
Complex multiplication
The elliptic curves in class 96600.cm do not have complex multiplication.Modular form 96600.2.a.cm
sage: E.q_eigenform(10)