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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 18207.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
18207.c1 | 18207d1 | \([0, 0, 1, 9271698, -9829771956]\) | \(5009339741732864/5271114033171\) | \(-92752039559566776646971\) | \([]\) | \(1253376\) | \(3.0937\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 18207.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 18207.c do not have complex multiplication.Modular form 18207.2.a.c
sage: E.q_eigenform(10)