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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 7245.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7245.i1 | 7245l1 | \([0, 0, 1, 262518, 116490087]\) | \(2744564518708084736/9629735831296875\) | \(-7020077421015421875\) | \([]\) | \(74880\) | \(2.2993\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7245.i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 7245.i do not have complex multiplication.Modular form 7245.2.a.i
sage: E.q_eigenform(10)