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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 78416.w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
78416.w1 | 78416p1 | \([0, 0, 0, -3211, -101062]\) | \(-185193/116\) | \(-2293390721024\) | \([]\) | \(215424\) | \(1.0734\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 78416.w1 has rank \(0\).
Complex multiplication
The elliptic curves in class 78416.w do not have complex multiplication.Modular form 78416.2.a.w
sage: E.q_eigenform(10)