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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 270480.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
270480.a1 | 270480a1 | \([0, -1, 0, -1863976, -864791024]\) | \(1238039614322/157190625\) | \(90936239999673600000\) | \([]\) | \(10725120\) | \(2.5589\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 270480.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 270480.a do not have complex multiplication.Modular form 270480.2.a.a
sage: E.q_eigenform(10)