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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 85680l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
85680.j1 | 85680l1 | \([0, 0, 0, -75102348, 571386048172]\) | \(-251024877317069793166336/610476381287841796875\) | \(-113929544181462187500000000\) | \([]\) | \(25159680\) | \(3.6879\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 85680l1 has rank \(0\).
Complex multiplication
The elliptic curves in class 85680l do not have complex multiplication.Modular form 85680.2.a.l
sage: E.q_eigenform(10)