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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 1150.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1150.c1 | 1150c1 | \([1, 1, 0, -575, -2875]\) | \(53969305/23552\) | \(9200000000\) | \([]\) | \(1200\) | \(0.60790\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1150.c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 1150.c do not have complex multiplication.Modular form 1150.2.a.c
sage: E.q_eigenform(10)