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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 7623.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7623.c1 | 7623b1 | \([0, 0, 1, -35937, 1877708]\) | \(1216512/343\) | \(1447194468169989\) | \([]\) | \(38016\) | \(1.6160\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7623.c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 7623.c do not have complex multiplication.Modular form 7623.2.a.c
sage: E.q_eigenform(10)