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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 88935c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
88935.l1 | 88935c1 | \([1, 1, 1, -362601, 89449548]\) | \(-7558595228569/597871125\) | \(-417039575171806125\) | \([]\) | \(1016064\) | \(2.1280\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 88935c1 has rank \(2\).
Complex multiplication
The elliptic curves in class 88935c do not have complex multiplication.Modular form 88935.2.a.c
sage: E.q_eigenform(10)