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SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 77658.be
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
77658.be1 | 77658bh1 | \([1, 0, 0, 456, 318528]\) | \(5670505847/23702740992\) | \(-43826368094208\) | \([]\) | \(262080\) | \(1.2965\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 77658.be1 has rank \(2\).
Complex multiplication
The elliptic curves in class 77658.be do not have complex multiplication.Modular form 77658.2.a.be
sage: E.q_eigenform(10)