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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 15210.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
15210.l1 | 15210p1 | \([1, -1, 0, -44550, 3630420]\) | \(-79370312059129/12960\) | \(-1596684960\) | \([]\) | \(53760\) | \(1.1674\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 15210.l1 has rank \(0\).
Complex multiplication
The elliptic curves in class 15210.l do not have complex multiplication.Modular form 15210.2.a.l
sage: E.q_eigenform(10)