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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 334620.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
334620.n1 | 334620n1 | \([0, 0, 0, -1248, -11947]\) | \(2944401408/859375\) | \(62741250000\) | \([]\) | \(274176\) | \(0.77788\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 334620.n1 has rank \(1\).
Complex multiplication
The elliptic curves in class 334620.n do not have complex multiplication.Modular form 334620.2.a.n
sage: E.q_eigenform(10)