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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 98736c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
98736.be1 | 98736c1 | \([0, -1, 0, -348, -2385]\) | \(2414368000/1377\) | \(2665872\) | \([]\) | \(18432\) | \(0.17932\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 98736c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 98736c do not have complex multiplication.Modular form 98736.2.a.c
sage: E.q_eigenform(10)