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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 77760w
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 77760.bf1 | 77760w1 | \([0, 0, 0, 972, 3402]\) | \(995328/625\) | \(-63772920000\) | \([]\) | \(51840\) | \(0.76227\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 77760w1 has rank \(0\).
Complex multiplication
The elliptic curves in class 77760w do not have complex multiplication.Modular form 77760.2.a.w
sage: E.q_eigenform(10)