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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 762.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
762.c1 | 762b1 | \([1, 0, 1, -17677, -9208]\) | \(610821169848399817/353458628591616\) | \(353458628591616\) | \([]\) | \(3360\) | \(1.4810\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 762.c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 762.c do not have complex multiplication.Modular form 762.2.a.c
sage: E.q_eigenform(10)