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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 150858c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
150858.v1 | 150858c1 | \([1, -1, 1, -3089, -94571]\) | \(-185193/116\) | \(-2041169384916\) | \([]\) | \(275968\) | \(1.0637\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 150858c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 150858c do not have complex multiplication.Modular form 150858.2.a.c
sage: E.q_eigenform(10)