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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 1470l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1470.l1 | 1470l1 | \([1, 1, 1, -2990, 71147]\) | \(-1231272543361/230400000\) | \(-553190400000\) | \([]\) | \(3120\) | \(0.97755\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1470l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 1470l do not have complex multiplication.Modular form 1470.2.a.l
sage: E.q_eigenform(10)