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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 77976e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
77976.b1 | 77976e1 | \([0, 0, 0, -3544659, -1102419634]\) | \(1893353800518/893871739\) | \(2325361773528966334464\) | \([]\) | \(4112640\) | \(2.7940\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 77976e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 77976e do not have complex multiplication.Modular form 77976.2.a.e
sage: E.q_eigenform(10)