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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 6762.u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6762.u1 | 6762p1 | \([1, 0, 1, -12, -38]\) | \(-3451273/9936\) | \(-486864\) | \([]\) | \(1152\) | \(-0.22165\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6762.u1 has rank \(1\).
Complex multiplication
The elliptic curves in class 6762.u do not have complex multiplication.Modular form 6762.2.a.u
sage: E.q_eigenform(10)