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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 7800.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7800.i1 | 7800q1 | \([0, -1, 0, -2633, 80637]\) | \(-504871936/394875\) | \(-1579500000000\) | \([]\) | \(11520\) | \(1.0393\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7800.i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 7800.i do not have complex multiplication.Modular form 7800.2.a.i
sage: E.q_eigenform(10)