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SageMath
E = EllipticCurve("iq1")
E.isogeny_class()
Elliptic curves in class 475200.iq
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 475200.iq1 | 475200iq1 | \([0, 0, 0, -900, -10750]\) | \(-2985984/121\) | \(-3267000000\) | \([]\) | \(245760\) | \(0.59344\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 475200.iq1 has rank \(1\).
Complex multiplication
The elliptic curves in class 475200.iq do not have complex multiplication.Modular form 475200.2.a.iq
sage: E.q_eigenform(10)