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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 465690l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
465690.l1 | 465690l1 | \([1, 1, 0, -1584797, -854371491]\) | \(-9356716174635361/1277667084000\) | \(-60108973591481004000\) | \([]\) | \(14688000\) | \(2.5272\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 465690l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 465690l do not have complex multiplication.Modular form 465690.2.a.l
sage: E.q_eigenform(10)