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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 1290l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1290.l1 | 1290l1 | \([1, 1, 1, -45, 195]\) | \(-10091699281/13932000\) | \(-13932000\) | \([]\) | \(480\) | \(0.063256\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1290l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 1290l do not have complex multiplication.Modular form 1290.2.a.l
sage: E.q_eigenform(10)