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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 70602.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
70602.o1 | 70602w1 | \([1, 1, 1, -831521814, 21712415552787]\) | \(-194218207880195897/509703742291968\) | \(-166867797119385472523198005248\) | \([]\) | \(89622720\) | \(4.2948\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 70602.o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 70602.o do not have complex multiplication.Modular form 70602.2.a.o
sage: E.q_eigenform(10)