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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 250173c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
250173.c1 | 250173c1 | \([0, 0, 1, -5576367, -3018983706]\) | \(81520685056/30438639\) | \(7160365095635904347349\) | \([]\) | \(20428800\) | \(2.8934\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 250173c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 250173c do not have complex multiplication.Modular form 250173.2.a.c
sage: E.q_eigenform(10)