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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 12480.w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
12480.w1 | 12480br1 | \([0, -1, 0, -1381, 20221]\) | \(-17790954496/195\) | \(-3194880\) | \([]\) | \(7680\) | \(0.40232\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 12480.w1 has rank \(0\).
Complex multiplication
The elliptic curves in class 12480.w do not have complex multiplication.Modular form 12480.2.a.w
sage: E.q_eigenform(10)