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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 134310.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
134310.c1 | 134310co1 | \([1, 1, 0, -145323, 18600597]\) | \(191591101730449/25955578440\) | \(45981890496744840\) | \([]\) | \(1497600\) | \(1.9245\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 134310.c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 134310.c do not have complex multiplication.Modular form 134310.2.a.c
sage: E.q_eigenform(10)