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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 238260w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
238260.w1 | 238260w1 | \([0, 1, 0, -690, -7227]\) | \(-6299021056/16335\) | \(-94350960\) | \([]\) | \(137376\) | \(0.40607\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 238260w1 has rank \(0\).
Complex multiplication
The elliptic curves in class 238260w do not have complex multiplication.Modular form 238260.2.a.w
sage: E.q_eigenform(10)