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SageMath
E = EllipticCurve("ct1")
E.isogeny_class()
Elliptic curves in class 176400ct
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 176400.bj1 | 176400ct1 | \([0, 0, 0, 684285, -882487550]\) | \(16468459/165888\) | \(-356941283195879424000\) | \([]\) | \(5677056\) | \(2.6248\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 176400ct1 has rank \(0\).
Complex multiplication
The elliptic curves in class 176400ct do not have complex multiplication.Modular form 176400.2.a.ct
sage: E.q_eigenform(10)