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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 6762.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6762.i1 | 6762d1 | \([1, 1, 0, 598, -6348]\) | \(68769820673/94610592\) | \(-32451433056\) | \([]\) | \(4800\) | \(0.70261\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6762.i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 6762.i do not have complex multiplication.Modular form 6762.2.a.i
sage: E.q_eigenform(10)