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SageMath
E = EllipticCurve("fw1")
E.isogeny_class()
Elliptic curves in class 119952fw
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 119952.b1 | 119952fw1 | \([0, 0, 0, -39207, -4196990]\) | \(-728871512656/410338673\) | \(-3752373180987648\) | \([]\) | \(967680\) | \(1.6916\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 119952fw1 has rank \(0\).
Complex multiplication
The elliptic curves in class 119952fw do not have complex multiplication.Modular form 119952.2.a.fw
sage: E.q_eigenform(10)