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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 48672.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
48672.a1 | 48672x1 | \([0, 0, 0, 52728, -11424400]\) | \(6656/27\) | \(-65765489792790528\) | \([]\) | \(599040\) | \(1.9097\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 48672.a1 has rank \(2\).
Complex multiplication
The elliptic curves in class 48672.a do not have complex multiplication.Modular form 48672.2.a.a
sage: E.q_eigenform(10)