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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 12279.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
12279.a1 | 12279a1 | \([0, -1, 1, -10, 12]\) | \(122023936/36837\) | \(36837\) | \([]\) | \(4320\) | \(-0.41865\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 12279.a1 has rank \(3\).
Complex multiplication
The elliptic curves in class 12279.a do not have complex multiplication.Modular form 12279.2.a.a
sage: E.q_eigenform(10)