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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 236556.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
236556.a1 | 236556a1 | \([0, 0, 0, -84, -515]\) | \(-5619712/6571\) | \(-76644144\) | \([]\) | \(126144\) | \(0.20694\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 236556.a1 has rank \(2\).
Complex multiplication
The elliptic curves in class 236556.a do not have complex multiplication.Modular form 236556.2.a.a
sage: E.q_eigenform(10)