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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 42264.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
42264.a1 | 42264a1 | \([0, 0, 0, -252, 1620]\) | \(-9483264/587\) | \(-109548288\) | \([]\) | \(39168\) | \(0.29696\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 42264.a1 has rank \(3\).
Complex multiplication
The elliptic curves in class 42264.a do not have complex multiplication.Modular form 42264.2.a.a
sage: E.q_eigenform(10)