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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 248430p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
248430.p1 | 248430p1 | \([1, 1, 0, -1528608, -647442648]\) | \(58476710929/7085880\) | \(47865587780926613880\) | \([]\) | \(7166016\) | \(2.5068\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 248430p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 248430p do not have complex multiplication.Modular form 248430.2.a.p
sage: E.q_eigenform(10)