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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 188760.f
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 188760.f1 | 188760cn1 | \([0, -1, 0, -24337496, 46226940300]\) | \(-439405355845493858/66715782705\) | \(-242055329228088330240\) | \([]\) | \(10713600\) | \(2.9239\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 188760.f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 188760.f do not have complex multiplication.Modular form 188760.2.a.f
sage: E.q_eigenform(10)