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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 77658.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
77658.a1 | 77658k1 | \([1, 1, 0, -106014302, 420096575550]\) | \(-11273777226305161/7938\) | \(-92780933803596738\) | \([]\) | \(11096064\) | \(3.0029\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 77658.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 77658.a do not have complex multiplication.Modular form 77658.2.a.a
sage: E.q_eigenform(10)