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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 56350w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
56350.t1 | 56350w1 | \([1, 0, 1, -100721, 12345988]\) | \(-156813434813/753664\) | \(-543090372608000\) | \([]\) | \(352800\) | \(1.6764\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 56350w1 has rank \(1\).
Complex multiplication
The elliptic curves in class 56350w do not have complex multiplication.Modular form 56350.2.a.w
sage: E.q_eigenform(10)