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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 144864a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
144864.b1 | 144864a1 | \([0, 0, 0, -117, 540]\) | \(-3796416/503\) | \(-23467968\) | \([]\) | \(65408\) | \(0.14703\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 144864a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 144864a do not have complex multiplication.Modular form 144864.2.a.a
sage: E.q_eigenform(10)