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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 400710.w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
400710.w1 | 400710w1 | \([1, 0, 1, 23457, -29272964]\) | \(30342134159/7887174930\) | \(-371059093182963330\) | \([]\) | \(5875200\) | \(2.0504\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 400710.w1 has rank \(0\).
Complex multiplication
The elliptic curves in class 400710.w do not have complex multiplication.Modular form 400710.2.a.w
sage: E.q_eigenform(10)