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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 8085.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
8085.a1 | 8085i1 | \([0, -1, 1, -85486, 9555342]\) | \(1409995418369929216/15792626953125\) | \(773838720703125\) | \([]\) | \(63360\) | \(1.6708\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 8085.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 8085.a do not have complex multiplication.Modular form 8085.2.a.a
sage: E.q_eigenform(10)