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SageMath
E = EllipticCurve("bt1")
E.isogeny_class()
Elliptic curves in class 23400.bt
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 23400.bt1 | 23400bs1 | \([0, 0, 0, 10500, 7062500]\) | \(351232/59319\) | \(-21621775500000000\) | \([]\) | \(230400\) | \(1.8136\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 23400.bt1 has rank \(0\).
Complex multiplication
The elliptic curves in class 23400.bt do not have complex multiplication.Modular form 23400.2.a.bt
sage: E.q_eigenform(10)