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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 63580.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
63580.a1 | 63580m1 | \([0, 0, 0, -15249952, -42238574204]\) | \(-219633107337216/304487046875\) | \(-543751112429157644000000\) | \([]\) | \(13880160\) | \(3.2468\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 63580.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 63580.a do not have complex multiplication.Modular form 63580.2.a.a
sage: E.q_eigenform(10)