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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 433200a
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 433200.a1 | 433200a1 | \([0, -1, 0, 101967, -18437688]\) | \(1299125682176/2373046875\) | \(-214167480468750000\) | \([]\) | \(7257600\) | \(2.0102\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 433200a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 433200a do not have complex multiplication.Modular form 433200.2.a.a
sage: E.q_eigenform(10)