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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 35739a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
35739.m1 | 35739a1 | \([0, 0, 1, -1481544, 1688080493]\) | \(-56623104/161051\) | \(-1022909299376557763907\) | \([]\) | \(1368000\) | \(2.7185\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 35739a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 35739a do not have complex multiplication.Modular form 35739.2.a.a
sage: E.q_eigenform(10)