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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 334620.x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
334620.x1 | 334620x1 | \([0, 0, 0, -1898208, 708684093]\) | \(2944401408/859375\) | \(220770381994841250000\) | \([]\) | \(10692864\) | \(2.6097\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 334620.x1 has rank \(1\).
Complex multiplication
The elliptic curves in class 334620.x do not have complex multiplication.Modular form 334620.2.a.x
sage: E.q_eigenform(10)