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SageMath
E = EllipticCurve("bk1")
E.isogeny_class()
Elliptic curves in class 23400.bk
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 23400.bk1 | 23400b1 | \([0, 0, 0, 375300, -2297551500]\) | \(74251994112/29007265625\) | \(-2283800037187500000000\) | \([]\) | \(967680\) | \(2.7775\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 23400.bk1 has rank \(1\).
Complex multiplication
The elliptic curves in class 23400.bk do not have complex multiplication.Modular form 23400.2.a.bk
sage: E.q_eigenform(10)