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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 18515c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
18515.i1 | 18515c1 | \([1, -1, 1, -324333438, 2248285015576]\) | \(-48181043296511332209/201768035\) | \(-15800653619061292835\) | \([]\) | \(4292352\) | \(3.3153\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 18515c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 18515c do not have complex multiplication.Modular form 18515.2.a.c
sage: E.q_eigenform(10)