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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 344760.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
344760.n1 | 344760n1 | \([0, -1, 0, -23903416, -85872864884]\) | \(-152796558778456322/233895263671875\) | \(-2312125980157500000000000\) | \([]\) | \(50319360\) | \(3.3665\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 344760.n1 has rank \(0\).
Complex multiplication
The elliptic curves in class 344760.n do not have complex multiplication.Modular form 344760.2.a.n
sage: E.q_eigenform(10)