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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 88445.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
88445.c1 | 88445z1 | \([0, -1, 1, -5896, 31352]\) | \(533794816/300125\) | \(12746695611125\) | \([]\) | \(331776\) | \(1.2048\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 88445.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 88445.c do not have complex multiplication.Modular form 88445.2.a.c
sage: E.q_eigenform(10)