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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 2368.f
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 2368.f1 | 2368k1 | \([0, -1, 0, -133, -547]\) | \(16000000/37\) | \(606208\) | \([]\) | \(256\) | \(-0.0095941\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2368.f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 2368.f do not have complex multiplication.Modular form 2368.2.a.f
sage: E.q_eigenform(10)