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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 75810.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
75810.c1 | 75810a1 | \([1, 1, 0, -10273526088, -402773373059778]\) | \(-371620692159996346278931/2118619749253938210\) | \(-683652529355875573834020235590\) | \([]\) | \(217694400\) | \(4.5667\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 75810.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 75810.c do not have complex multiplication.Modular form 75810.2.a.c
sage: E.q_eigenform(10)