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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 109554v
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 109554.w1 | 109554v1 | \([1, 0, 0, -4547472, 3732288768]\) | \(-12193833718273/525312\) | \(-448033896660206592\) | \([]\) | \(3013200\) | \(2.4660\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 109554v1 has rank \(0\).
Complex multiplication
The elliptic curves in class 109554v do not have complex multiplication.Modular form 109554.2.a.v
sage: E.q_eigenform(10)