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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 70602i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
70602.i1 | 70602i1 | \([1, 0, 1, 276489, 87717754]\) | \(492103442375/984184992\) | \(-4674981304427751072\) | \([]\) | \(1411200\) | \(2.2669\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 70602i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 70602i do not have complex multiplication.Modular form 70602.2.a.i
sage: E.q_eigenform(10)