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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 77658j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
77658.n1 | 77658j1 | \([1, 1, 0, -129468, -795639600]\) | \(-70200862594969/79939818749952\) | \(-273298332282154647552\) | \([]\) | \(5935104\) | \(2.6004\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 77658j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 77658j do not have complex multiplication.Modular form 77658.2.a.j
sage: E.q_eigenform(10)