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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 975c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
975.j1 | 975c1 | \([1, 1, 0, 300, 14625]\) | \(304175/9477\) | \(-92548828125\) | \([]\) | \(720\) | \(0.78426\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 975c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 975c do not have complex multiplication.Modular form 975.2.a.c
sage: E.q_eigenform(10)