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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 27262.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
27262.a1 | 27262c1 | \([1, -1, 1, -237, 1365]\) | \(1466390638881/111665152\) | \(111665152\) | \([]\) | \(65312\) | \(0.28915\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 27262.a1 has rank \(3\).
Complex multiplication
The elliptic curves in class 27262.a do not have complex multiplication.Modular form 27262.2.a.a
sage: E.q_eigenform(10)