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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 215600.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
215600.c1 | 215600f1 | \([0, 0, 0, -56875, -7043750]\) | \(-1482975/704\) | \(-9658880000000000\) | \([]\) | \(1935360\) | \(1.7731\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 215600.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 215600.c do not have complex multiplication.Modular form 215600.2.a.c
sage: E.q_eigenform(10)