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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 141120.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
141120.n1 | 141120le1 | \([0, 0, 0, -84390348, 343261058672]\) | \(-1231272543361/230400000\) | \(-12437420712247531929600000\) | \([]\) | \(33546240\) | \(3.5395\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 141120.n1 has rank \(1\).
Complex multiplication
The elliptic curves in class 141120.n do not have complex multiplication.Modular form 141120.2.a.n
sage: E.q_eigenform(10)