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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 10115l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
10115.j1 | 10115l1 | \([1, 1, 0, -252, -851]\) | \(6161940649/2734375\) | \(790234375\) | \([]\) | \(5184\) | \(0.40295\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 10115l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 10115l do not have complex multiplication.Modular form 10115.2.a.l
sage: E.q_eigenform(10)