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SageMath
E = EllipticCurve("fw1")
E.isogeny_class()
Elliptic curves in class 382200fw
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 382200.fw1 | 382200fw1 | \([0, 1, 0, -129033, -27400437]\) | \(-504871936/394875\) | \(-185826595500000000\) | \([]\) | \(3801600\) | \(2.0123\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 382200fw1 has rank \(0\).
Complex multiplication
The elliptic curves in class 382200fw do not have complex multiplication.Modular form 382200.2.a.fw
sage: E.q_eigenform(10)