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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 309168.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
309168.c1 | 309168c1 | \([0, 0, 0, -12387, 523010]\) | \(140787677378/2325201\) | \(3471506491392\) | \([]\) | \(755712\) | \(1.2051\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 309168.c1 has rank \(2\).
Complex multiplication
The elliptic curves in class 309168.c do not have complex multiplication.Modular form 309168.2.a.c
sage: E.q_eigenform(10)