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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 37030.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
37030.c1 | 37030c1 | \([1, 1, 0, -27570168, -55759909712]\) | \(-55945300906681/33614000\) | \(-1392510747935597486000\) | \([]\) | \(3179520\) | \(3.0009\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 37030.c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 37030.c do not have complex multiplication.Modular form 37030.2.a.c
sage: E.q_eigenform(10)