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SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 77763.be
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
77763.be1 | 77763r1 | \([0, -1, 1, -2497056, -1771459621]\) | \(-98867482624/20696067\) | \(-360448379905851288387\) | \([]\) | \(7603200\) | \(2.6662\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 77763.be1 has rank \(1\).
Complex multiplication
The elliptic curves in class 77763.be do not have complex multiplication.Modular form 77763.2.a.be
sage: E.q_eigenform(10)