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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 5445.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5445.l1 | 5445c1 | \([0, 0, 1, -297, -2005]\) | \(-1216512/25\) | \(-59541075\) | \([]\) | \(2880\) | \(0.28338\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5445.l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 5445.l do not have complex multiplication.Modular form 5445.2.a.l
sage: E.q_eigenform(10)