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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 141512w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
141512.a1 | 141512w1 | \([0, 0, 0, -123823, 16468459]\) | \(48384\) | \(4339362269354896\) | \([]\) | \(1134000\) | \(1.7908\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 141512w1 has rank \(0\).
Complex multiplication
The elliptic curves in class 141512w do not have complex multiplication.Modular form 141512.2.a.w
sage: E.q_eigenform(10)